Solutions for COLLEGE ALGEBRA
Problem 1FT:
True or False? Explain.
1. The inverse of the function {(2, 3), (5, 5)} is {(5, 2), (5, 3)}.
Problem 9FT:
True or False? Explain.
9. According to the horizontal line test, y = |x| is one-to-one.
Problem 8E:
Determine whether each function is one-to-one. {(3, 4), (5, 6), (7, 8), (9,10), (11, 15)}Problem 11E:
Determine whether each function is one-to-one. {(1, 99), (2, 98), (3, 97), (4, 96), (5, 99)}Problem 12E:
Determine whether each function is one-to-one. {(–1, 9), (–2, 8), (–3, 7), (1, 9), (2, 8), (3, 7)}Problem 13E:
Use the horizontal line test to determine whether each function is one-to-one. f ( x ) = x 2 − 3 xProblem 19E:
Determine whether each function is one-to-one.
19.
Problem 21E:
Determine whether each function is one-to-one.Problem 22E:
Determine whether each function is one-to-one.
22.
Problem 23E:
Determine whether each function is one-to-one.
23.
Problem 25E:
Determine whether each function is one-to-one.
25.
Problem 26E:
Determine whether each function is one-to-one.
26.
Problem 27E:
Determine whether each function is one-to-one.
27.
Problem 28E:
Determine whether each function is one-to-one.Problem 29E:
Determine whether each function is invertible. If it is invertible, find the inverse. {(9, 3), (2,...Problem 30E:
Determine whether each function is invertible. If it is invertible, find the inverse. {(4, 5), (5,...Problem 31E:
Determine whether each function is invertible. If it is invertible, find the inverse. {(–1,0),...Problem 32E:
Determine whether each function is invertible. If it is invertible, find the inverse. {(1, 2), (5,...Problem 33E:
Determine whether each function is invertible. If it is invertible, find the inverse.
33. {(3, 3),...Problem 35E:
Determine whether each function is invertible. If it is invertible, find the inverse. { ( 1 , 1 ) ,...Problem 37E:
Determine whether each function is invertible and explain your answer.
37. The function that pairs...Problem 38E:
Determine whether each function is invertible and explain your answer. The function that pairs the...Problem 43E:
For each function f find
43.
Problem 52E:
Find the inverse of each function by reversing a composition. a. b. f(x) = x + 99 c. d. f(x) = 5 –...Problem 57E:
For each function f sketch the graph of f–1.Problem 58E:
For each function f sketch the graph of f–1.Problem 59E:
For each function f sketch the graph of f–1.
59.
Problem 60E:
For each function f sketch the graph of f–1.Problem 61E:
Find the inverse of each function and graph both f and f-1on the same coordinate plane. f ( x ) = 3...Problem 62E:
Find the inverse of each function and graph both f and f-1on the same coordinate plane. f ( x ) = −...Problem 63E:
Find the inverse of each function and graph both f and f 1 on the same coordinate plane.
63. f(x) =...Problem 64E:
Find the inverse of each function and graph both f and f–1 on the same coordinate plane.
64. f(x) =...Problem 65E:
Find the inverse of each function and graph both f and f–1on the same coordinate plane. f ( x ) = x...Problem 66E:
Find the inverse of each function and graph both f and f–1on the same coordinate plane. f ( x ) = −...Problem 67E:
Find the inverse of each function and graph both f and f-1 on the same coordinate plane.
67.
Problem 68E:
Find the inverse of each function and graph both f and f–1 on the same coordinate plane.
68.
Problem 69E:
Find the inverse of each function using the procedure for the switch-and-solve method on page...Problem 70E:
Find the inverse of each function using the procedure for the switch-and-solve method on page 241. f...Problem 71E:
Find the inverse of each function using the procedure for the switch-and-solve method on page 241.Problem 72E:
Find the inverse of each function using the procedure for the switch-and-solve method on page 241.Problem 73E:
Find the inverse of each function using the procedure for the switch-and-solve method on page 241. f...Problem 74E:
Find the inverse of each function using the procedure for the switch-and-solve method on page 241. f...Problem 75E:
Find the inverse of each function using the procedure for the switch-and-solve method on page 241.Problem 76E:
Find the inverse of each function using the procedure for the switch-and-solve method on page 241.Problem 77E:
Find the inverse of each function using the procedure for the switch-and-solve method on page...Problem 78E:
Find the inverse of each function using the procedure for the switch-and-solve method on page...Problem 79E:
Find the inverse of each function using the procedure for the switch-and-solve method on page 241.Problem 80E:
Find the inverse of each function using the procedure for the switch-and-solve method on page 241.Problem 81E:
Find the inverse of each function using the procedure for the switch-and-solve method on page...Problem 82E:
Find the inverse of each function using the procedure for the switch-and-solve method on page...Problem 83E:
In each case find f(g(x)) and g(f(x)). Then determine whether g and fare inverse functions. f ( x )...Problem 84E:
In each case find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions.Problem 85E:
In each case find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions.
85.
Problem 86E:
In each case find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions.Problem 87E:
In each case find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions.
87.
Problem 88E:
In each case find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions.Problem 93E:
Solve each problem.
93. Price of a Car The tax on a new car is 8% of the purchase price P. Express...Problem 96E:
Solve each problem. Temperature The function expresses the Celsius temperature as a function of the...Problem 97E:
Solve each problem. Landing Speed The function expresses the landing speed V (in feet per second) as...Browse All Chapters of This Textbook
Chapter P - PrerequisitesChapter P.1 - Real Numbers And Their PropertiesChapter P.2 - Integral Exponents And Scientific NotationChapter P.3 - Rational Exponents And RadicalsChapter P.4 - PolynomialsChapter P.5 - Factoring PolynomialsChapter P.6 - Rational ExpressionsChapter P.7 - Complex NumbersChapter 1 - Equations, Inequalities, And ModelingChapter 1.1 - Linear, Rational, And Absolute Value Equations
Chapter 1.2 - Constructing Models To Solve ProblemsChapter 1.3 - Equations And Graphs In Two VariablesChapter 1.4 - Linear Equations In Two VariablesChapter 1.5 - Quadratic EquationsChapter 1.6 - Miscellaneous EquationsChapter 1.7 - Linear And Absolute Value InequalitiesChapter 2 - Functions And GraphsChapter 2.1 - FunctionsChapter 2.2 - Graphs Of Relations And FunctionsChapter 2.3 - Families Of Functions, Transformations, And SymmetryChapter 2.4 - Operations With FunctionsChapter 2.5 - Inverse FunctionsChapter 2.6 - Constructing Functions With VariationChapter 3 - Polynomial And Rational FunctionsChapter 3.1 - Quadratic Functions And InequalitiesChapter 3.2 - Zeros Of Polynomial FunctionsChapter 3.3 - The Theory Of EquationsChapter 3.4 - Graphs Of Polynomial FunctionsChapter 3.5 - Rational Functions And InequalitiesChapter 4 - Exponential And Logarithmic FunctionsChapter 4.1 - Exponential Functions And Their ApplicationsChapter 4.2 - Logarithmic Functions And Their ApplicationsChapter 4.3 - Rules Of LogarithmsChapter 4.4 - More Equations And ApplicationsChapter 5 - Systems Of Equations And InequalitiesChapter 5.1 - Systems Of Linear Equations In Two VariablesChapter 5.2 - Systems Of Linear Equations In Three VariablesChapter 5.3 - Nonlinear Systems Of EquationsChapter 5.4 - Partial FractionsChapter 5.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 5.6 - The Linear Programming ModelChapter 6 - Matrices And DeterminantsChapter 6.1 - Solving Linear Systems Using MatricesChapter 6.2 - Operations With MatricesChapter 6.3 - Multiplication Of MatricesChapter 6.4 - Inverses Of MatricesChapter 6.5 - Solution Of Linear Systems In Two Variables Using DeterminantsChapter 6.6 - Solution Of Linear Systems In Three Variables Using DeterminantsChapter 7 - The Conic SectionsChapter 7.1 - The ParabolaChapter 7.2 - The Ellipse And The CircleChapter 7.3 - The HyperbolaChapter 8 - Sequences, Series, And ProbabilityChapter 8.1 - Sequences And Arithmetic SequencesChapter 8.2 - Series And Arithmetic SeriesChapter 8.3 - Geometric Sequences And SeriesChapter 8.4 - Counting And PermutationsChapter 8.5 - Combinations, Labeling, And The Binomial TheoremChapter 8.6 - ProbabilityChapter 8.7 - Mathematical InductionChapter A - Scatter Diagrams And Curve Fitting
Sample Solutions for this Textbook
We offer sample solutions for COLLEGE ALGEBRA homework problems. See examples below:
Chapter P, Problem 1REGiven: 3x−2=0 Calculation: Consider the equation, 3x−2=0 Add 2 to both the sides, 3x−2+2=0+23x=2...Chapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REGiven: The matrices A=[2−3−24],B=[3712]. Formula Used: Two matrices can only be subtracted if they...Chapter 7, Problem 1REChapter 8, Problem 1RE
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