PRECALCULUS17th EditionMiller Publisher: McGraw-Hill Publishing Co.ISBN: 9781259822100
PRECALCULUS
Solutions for PRECALCULUS
Problem 1SP:
Given mx=xandnx=4,findm+nx.Problem 7SP:
Given fx=3x+4andgx=1x1, write a rule for each function and write the domain in interval notation....Problem 10SP:
An artist shops online for tubes of watercolor paint. The cost is $16 for each 14-ml tube. a. Write...Problem 12SP:
Refer to the functions fandg pictured in Example 12. Evaluate the functions at the given values of x...Problem 2PE:
The function fg is defined by fgx= provided that 0.Problem 3PE:
Let h represent a positive real number. Given a function defined by y=fx, the difference quotient is...Problem 5PE:
For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=xandgx=3Problem 6PE:
For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=xandgx=4Problem 7PE:
For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=x2andgx=4Problem 8PE:
For Exercises 5-8, find f+gx and identify the graph of f+g . (See Example 1) fx=x2andgx=3Problem 9PE:
For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)...Problem 10PE:
For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)...Problem 11PE:
For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)...Problem 12PE:
For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)...Problem 13PE:
For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)...Problem 14PE:
For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)...Problem 15PE:
For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)...Problem 16PE:
For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)...Problem 17PE:
For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)...Problem 18PE:
For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)...Problem 19PE:
For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the...Problem 20PE:
For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the...Problem 21PE:
For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the...Problem 22PE:
For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the...Problem 23PE:
For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the...Problem 24PE:
For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the...Problem 25PE:
For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the...Problem 26PE:
For Exercises 19-26, refer to the functions r,p,andq. Find the indicated function and write the...Problem 27PE:
For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain...Problem 28PE:
For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain...Problem 29PE:
For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain...Problem 30PE:
For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain...Problem 31PE:
For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain...Problem 32PE:
For Exercises 27-32, refer to functions s,t,andv. Find the indicated function and write the domain...Problem 33PE:
For Exercises 33-36, a function is given. (See Example 4-5) a.Findfx+h.b.Findfx+hfxh. fx=5x+9Problem 34PE:
For Exercises 33-36, a function is given. (See Example 4-5) a.Findfx+h.b.Findfx+hfxh. fx=8x+4Problem 35PE:
For Exercises 33-36, a function is given. (See Example 4-5) a.Findfx+h.b.Findfx+hfxh. fx=x2+4xProblem 36PE:
For Exercises 33-36, a function is given. (See Example 4-5) a.Findfx+h.b.Findfx+hfxh. fx=x23xProblem 37PE:
For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=2x+5Problem 38PE:
For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=3x+8Problem 39PE:
For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=5x24x+2Problem 40PE:
For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=4x22x+6Problem 41PE:
For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=x3+5Problem 42PE:
For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=x32Problem 43PE:
For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=1xProblem 44PE:
For Exercises 37-44, find the difference quotient and simplify. (See Example 4-5) fx=1x+2Problem 45PE:
Given fx=4x, a. Find the difference quotient (do not simplify). b. Evaluate the difference quotient...Problem 46PE:
Given fx=12x, a. Find the difference quotient (do not simplify). b. Evaluate the difference quotient...Problem 47PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 48PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 49PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 50PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 51PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 52PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 53PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 54PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 55PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 56PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 57PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 58PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 59PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 60PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 61PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 62PE:
For Exercises 47-62, refer to functions f,g,andh. Evaluate the functions for the given values of x....Problem 63PE:
Given fx=2x+4andgx=x2, a.Findfgx.b.Findgfx.c.Istheoperationoffunctionco,positioncommulative?Problem 64PE:
Given kx=3x+1andmx=1x, a.Findkmx.b.Findmkx.c.Iskmx=mkx?Problem 65PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 66PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 67PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 68PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 69PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 70PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 71PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 72PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 73PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 75PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 76PE:
For Exercises 65-76, refer to function to functions m,n,p,q,andr. Find the indicated function and...Problem 77PE:
For Exercises 77-80, find fgx and write the domain in interval notation. (See Example 9)...Problem 78PE:
For Exercises 77-80, find fgx and write the domain in interval notation. (See Example 9)...Problem 79PE:
For Exercises 77-80, find fgx and write the domain in interval notation. (See Example 9)...Problem 80PE:
For Exercises 77-80, find fgx and write the domain in interval notation. (See Example 9)...Problem 87PE:
A law office orders business stationery. The cost is $21.95 per box. (See Example 10) a. Write a...Problem 88PE:
The cost to buy tickets online for a dance show is $60 per ticket. a. Write a function that...Problem 89PE:
A bicycle wheel turns at a rate of 80 revolutions per minute (rpm). a. Write a function that...Problem 90PE:
While on vacation in France, Sadie bought a box of almond croissants. Each croissant cost 2.40...Problem 91PE:
For Exercises 91-98, find two functions fandg such that hx=fgx. (See Example 11) hx=x+72Problem 93PE:
For Exercises 91-98, find two functions fandg such that hx=fgx. (See Example 11) hx=2x+13Problem 95PE:
For Exercises 91-98, find two functions fandg such that hx=fgx. (See Example 11) hx=2x23Problem 97PE:
For Exercises 91-98, find two functions fandg such that hx=fgx. (See Example 11) hx=5x+4Problem 100PE:
For Exercises 99-102, the graphs of two functions are shown. Evaluate the function at given value of...Problem 103PE:
For Exercises 103-110, refer to the functions fandg and evaluate the functions for the given values...Problem 104PE:
For Exercises 103-110, refer to the functions fandg and evaluate the functions for the given values...Problem 105PE:
For Exercises 103-110, refer to the functions fandg and evaluate the functions for the given values...Problem 106PE:
For Exercises 103-110, refer to the functions fandg and evaluate the functions for the given values...Problem 108PE:
For Exercises 103-110, refer to the functions fandg and evaluate the functions for the given values...Problem 112PE:
Consider a right circular cone with given height h. The volume of the cone as a function of its...Problem 115PE:
Suppose that a function H gives the high temperature HxinoF for day x. Suppose that a function L...Problem 120PE:
Explain what the difference quotient represents.Problem 123PE:
A car traveling 60 mph (88 ft/sec) undergoes a constant deceleration until it comes to rest...Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
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