Verified Test Bank Ch3 Functions And Their Graphs - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.
College Algebra, 5e (Young)
Chapter 3 Functions and Their Graphs
3.4 Operations on Functions and Composition of Functions
1) Given the functions f (x) = 3x + 6 and g(x) = -6x + 8, find (f + g)(x).
A) -3x + 14
B) -3x + 2
C) 9x + 14
D) -18x + 48
Diff: 1 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
2) Given the functions f (x) = 9
+ 6 and g(x) = -3 - 9, find (f + g)(x).
A) 6 - 11
B) -6 - 11
C) 6 + 11
D) -6 + 11
Diff: 1 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
3) Given the functions f (x) = 
and g(x) = 
, find (f + g)(x).
A) 
B) 
C) 
D) 
Diff: 2 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
4) Given the functions f (x) = 18 - 4x and g(x) = 3x + 2, find (f - g)(x).
A) -7x + 16
B) -7x - 16
C) -7x + 20
D) 7x + 20
Diff: 1 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
5) Given the functions f (x) = 10 + 4x and g(x) = -13 + 9x, find (f - g)(x).
A) 23 + 5x
B) 23 - 5x
C) -3 - 13x
D) -3 - 5x
Diff: 1 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
6) Given the functions f (x) = x + 3 and g(x) = 6x - 9, find (f · g)(x).
A) 6 + 27
B) 6x2 + 9x - 27
C) 6 + 18x + 27
D) 6 - 27
Diff: 2 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
7) Given the equations f (x) = 8 + 3 and g(x) = 2 - 10, find (f ∙ g)(x).
A) 16
- 30
B) 16 - 74 - 30
C) 16 + 86 - 30
D) 16 + 30
Diff: 2 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
8) Given the functions f (x) = 24x + 24 and g(x) = 6x + 6, find 
(x). (Assume g(x) ≠ 0.)
A) 144 + 144x + 144
B) 1/4
C) 4
D) 30x + 30
Diff: 1 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
9) Given the functions f (x) = - 9 and g(x) = x - 3, find (x). (Assume g(x) ≠ 0.)
A) x + 3
B) x - 9
C) - x - 6
D) x + 9
Diff: 2 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
10) Given the equations f (x) = 2x + 6 and g(x) = 3x - 10, find (f ∘ g)(x).
A) 5x - 4
B) 6x - 20
C) 6x - 14
D) 6x + 20
Diff: 2 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
11) Given the functions f (x) = 
and g(x) = 
, find (f ∘ g)(x).
A) 
B) 
C) 
D) 
Diff: 3 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
12) Given the functions f (x) = 8x + 1 and g(x) = 3x - 7, find (g ∘ f)(x).
A) 24x - 7
B) 24x - 6
C) 24x + 31
D) 24x - 4
Diff: 2 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
13) Given the functions f (x) = 
and g(x) = 7 - x, find (g ∘ f)(x).
A) 
B) 7 -
C) 
D) 
Diff: 2 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
14) Given the functions f (x) = 3 - 1 and g(x) = 5 - 2x, find (f ∘ g)(5).
A) 74
B) [$n]
C) -30 - 25
D) 674
Diff: 2 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
15) Given the function f (x) = 
and g(x) = 
, find (f ∘ g)
.
A) - 
B)
C) 
D) - 
Diff: 3 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
16) Given the functions f (x) = 8x - 9 and g(x) = 3x + 5, determine f + g, f - g, fg, and 
.
(f - g)(x) = 5x - 14,
(f · g)(x) = 24 + 13x - 45,
(f /g)(x) = 
; x ≠ - 
Diff: 2 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
17) Given the functions f (x) = 
and g(x) = + 10, determine the composite functions 
and 
(g ∘ f)(x) = 
+ 10
Diff: 3 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
18) Given the functions f (x) = 8 - 10x, and g(x) = -4 - x, find 
and 
Diff: 3 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
19) Typical supply and demand relationships state that as the number of units for sale increases, the market price decreases. Assume that the market price, p, and the number of units for sale, x, are related by the demand equation:
p = 1,600 - 
x
Assume that the cost, C(x), of producing x items is governed by the equation
C(x) = 1,000 + 70x
and the revenue, R(x), generated by selling x units is governed by
R(x) = 400x
a. Write the cost as a function of price p.
b. Write the revenue as a function of price p.
c. Write the profit as a function of price p.
a. C(p) = 68,200 - 42p
b. R(p) = 1,920,000 - 1,200p
c. P(p) = 1,851,800 - 1,158p
Diff: 3 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
20) Given the functions f (x) = -7 + 8x - 7, and g(x) = 12 - 4x, find and 
.
= 28 - 32x + 40
Diff: 3 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
21) Given the functions f (x) = -2 + 13x - 4, and g(x) = -4 - 5x, find and .
A) =10 - 65x + 16
= -50 - 145x - 88
B) = -50 - 145x - 88
= 10 - 65x + 16
C) = -50 - 65x - 88
= 10 - 65x + 16
D) = 25 - 5x - 88
= 10 + 13x - 8
Diff: 3 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
22) Given the functions f (x) = 8x - 1 and g(x) = 4x + 5, determine 
.
Diff: 2 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Add, subtract, multiply, and divide functions.
23) Given the function (f ∘ g)
, choose the two f and g that could make the composite.
A) f (x) = 
, g(x) = 
B) f (x) = 
, g(x) =
C) f (x) = 
, g(x) =
D) f (x) = 
, g(x) = 5 + x
Diff: 3 Var: 1
Chapter/Section: Ch 03, Sec 04
Learning Objective: Evaluate composite functions.
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