Problem 1SP: Skill Practice Given m(x)=|x| and n(x)=4, find (m+n)(x). Problem 2SP: Skill Practice
2. Use the functions defined in Example 2 to find
a.
b.
c.
Problem 3SP Problem 4SP Problem 5SP Problem 6SP Problem 7SP Problem 8SP Problem 9SP: Skill Practice Given r(x)=xx+1 and t(x)=5x29, find (rt)(x) and write the domain in interval... Problem 10SP: Skill Practice An artist shops online for tubes of watercolor paint. The cost is $16 for each 14-mL... Problem 11SP: Skill Practice
11. Given , find two functions and such that .
Problem 12SP: Skill Practice Refer to the functions f and g pictured in Example 12. Evaluate the functions at the... Problem 1PE: The function f+g is defined by (f+g)(x)=+. Problem 2PE Problem 3PE: 3. Let h represent a positive real number. Given a function defined by , the difference quotient is... Problem 4PE: The composition of f and g, denoted by fg, is defined by fg(x)= ________. Problem 5PE: For Exercises 5-8, find and identify the graph of . (See Example 1)
5.
Problem 6PE Problem 7PE: For Exercises 5-8, find (f+g)(x) and identify the graph of f+g. (See Example 1) f(x)=x2andg(x)=4 Problem 8PE Problem 9PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) f(x)=2x... Problem 10PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) f(x)=2x... Problem 11PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)
11.
Problem 12PE Problem 13PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)
13.
Problem 14PE Problem 15PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) f(x)=2x... Problem 16PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2) f(x)=2x... Problem 17PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)
17.
Problem 18PE: For Exercises 9-18, evaluate the functions for the given values of x. (See Example 2)
18.
Problem 19PE: For Exercises 19-26, refer to the functions r, p, and q. Find the indicated functions and write the... Problem 20PE: For Exercises 19-26, refer to the functions r, p, and q. Find the indicated functions and write the... Problem 21PE: For Exercises 19-26, refer to the functions r, p, and q. Find the indicated functions and write the... Problem 22PE: For Exercises 19-26, refer to the functions r, p, and q. Find the indicated functions and write the... Problem 23PE: For Exercises 19-26, refer to the functions r, p, and q. Find the indicated functions and write the... Problem 24PE: For Exercises 19-26, refer to the functions r, p, and q. Find the indicated functions and write the... Problem 25PE: For Exercises 19-26, refer to the functions r, p, and q. Find the indicated functions and write the... Problem 26PE: For Exercises 19-26, refer to the functions r, p, and q. Find the indicated functions and write the... Problem 27PE: For Exercises 27-32, refer to functions s, t, and v. Find the indicated function and write the... Problem 28PE: For Exercises 27-32, refer to functions s, t, and v. Find the indicated function and write the... Problem 29PE: For Exercises 27-32, refer to functions s, t, and v. Find the indicated function and write the... Problem 30PE: For Exercises 27-32, refer to functions s, t, and v. Find the indicated function and write the... Problem 31PE: For Exercises 27-32, refer to functions s, t, and v. Find the indicated function and write the... Problem 32PE: For Exercises 27-32, refer to functions s, t, and v. Find the indicated function and write the... Problem 33PE: For Exercises 33-36, a function is given. (See Example 4-5)
a. Find .
b. Find
33.
Problem 34PE: For Exercises 33-36, a function is given. (See Example 4-5) a. Find f(x+h). b. Find f(x+h)f(x)h... Problem 35PE: For Exercises 33-36, a function is given. (See Example 4-5) a. Find f(x+h). b. Find f(x+h)f(x)h... Problem 36PE: For Exercises 33-36, a function is given. (See Example 4-5)
a. Find .
b. Find
36.
Problem 37PE: For Exercises 37-44, find the difference quotient and simplify. (See Examples 4-5) f(x)=2x+5 Problem 38PE: For Exercises 37-44, find the difference quotient and simplify. (See Examples 4-5) f(x)=3x+8 Problem 39PE: For Exercises 37-44, find the difference quotient and simplify. (See Examples 4-5)
39.
Problem 40PE Problem 41PE: For Exercises 37-44, find the difference quotient and simplify. (See Examples 4-5) f(x)=x3+5 Problem 42PE: For Exercises 37-44, find the difference quotient and simplify. (See Examples 4-5) f(x)=x32 Problem 43PE Problem 44PE Problem 45PE Problem 46PE Problem 47PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 48PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 49PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 50PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 51PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 52PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 53PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 54PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 55PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 56PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 57PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 58PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 59PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 60PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 61PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 62PE: For Exercises 47-62, refer to functions f, g, and h. Evaluate the functions for the given values of... Problem 63PE: 63. Given ,
a. Find .
b. Find .
c. Is the operations of functions composition commutative?
Problem 64PE Problem 65PE: For Exercises 65-76, refer to functions m, n, p, q, and r. Find the indicated function and write the... Problem 66PE: For Exercises 65-76, refer to functions m, n, p, q, and r. Find the indicated function and write the... Problem 67PE: For Exercises 65-76, refer to functions m, n, p, q, and r. Find the indicated function and write the... Problem 68PE Problem 69PE: For Exercises 65-76, refer to functions m, n, p, q, and r. Find the indicated function and write the... Problem 70PE: For Exercises 65-76, refer to functions m, n, p, q, and r. Find the indicated function and write the... Problem 71PE: For Exercises 65-76, refer to functions m, n, p, q, and r. Find the indicated function and write the... Problem 72PE: For Exercises 65-76, refer to functions m, n, p, q, and r. Find the indicated function and write the... Problem 73PE: For Exercises 65-76, refer to functions m, n, p, q, and r. Find the indicated function and write the... Problem 74PE: For Exercises 65-76, refer to functions m, n, p, q, and r. Find the indicated function and write the... Problem 75PE: For Exercises 65-76, refer to functions m, n, p, q, and r. Find the indicated function and write the... Problem 76PE Problem 77PE: For Exercises 77-80, find and write the domain in interval notation. (See Example 9)
77.
Problem 78PE: For Exercises 77-80, find and write the domain in interval notation. (See Example 9)
78.
Problem 79PE: For Exercises 77-80, find and write the domain in interval notation. (See Example 9)
79.
Problem 80PE Problem 81PE: Given f(x)=1x2, find (ff)(x) and write the domain in interval notation. Problem 82PE Problem 83PE: For Exercises 83-86, find the indicated functions. f(x)=2x+1 g(x)=x2 h(x)=x3 (fgh)(x) Problem 84PE: For Exercises 83-86, find the indicated functions. f(x)=2x+1 g(x)=x2 h(x)=x3 (gfh)(x) Problem 85PE Problem 86PE 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 in $60 per ticket. a. Write a function that... Problem 89PE Problem 90PE: While on vacation in France, Sadie bought a box of almond croissants. Each croissant cost... Problem 91PE: For Exercises 91-98, find two functions f and g such that . (See Example 11)
91.
Problem 92PE: For Exercises 91-98, find two functions f and g such that h(x)=(fg)(x) . (See Example 11) h(x)=(x8)2 Problem 93PE: For Exercises 91-98, find two functions f and g such that h(x)=(fg)(x) . (See Example 11) h(x)=2x+13 Problem 94PE: For Exercises 91-98, find two functions f and g such that h(x)=(fg)(x) . (See Example 11) h(x)=9x54 Problem 95PE: For Exercises 91-98, find two functions f and g such that h(x)=(fg)(x) . (See Example 11)... Problem 96PE Problem 97PE Problem 98PE Problem 99PE: For Exercises 99-102, the graphs of two functions are shown. Evaluate the function at the given... Problem 100PE: For Exercises 99-102, the graphs of two functions are shown. Evaluate the function at the given... Problem 101PE Problem 102PE Problem 103PE Problem 104PE Problem 105PE Problem 106PE Problem 107PE Problem 108PE Problem 109PE Problem 110PE Problem 111PE: 111. The diameter d of a sphere is twice the radius r. The volume of the sphere as a function of its... Problem 112PE: Consider a right circular cone with given height h. The volume of the cone as a function of its... Problem 113PE Problem 114PE: The population in a certain town has been decreasing at a rate of 2% per year. If x is the... Problem 115PE Problem 116PE Problem 117PE Problem 118PE Problem 119PE Problem 120PE Problem 121PE Problem 122PE Problem 123PE: 123. A car traveling 60 mph (88 ft/sec) undergoes a constant deceleration until it comes to rest... Problem 124PE Problem 125PE Problem 126PE Problem 127PE Problem 128PE Problem 129PE Problem 130PE: Given f(x)=|2x34|, define functions m, n, h, and k such that f(x)=(mnhk)(x). format_list_bulleted
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell