Question : Find the indicated composite for the pair of functions. : 2163604
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the indicated composite for the pair of functions.
1) f(x) = 3x + 9; g(x) = 3x - 1
Find (fog)(x).
A) 9x + 6
B) 9x + 12
C) 9x + 26
D) 9x + 8
2) f(x) = -2x + 4; g(x) = 6x + 8
Find (gof)(x).
A) -12x + 20
B) -12x - 16
C) x + 32
D) -12x + 32
3) f(x) = (x - 5/4); g(x) = 4x + 5
Find (gof)(x)
A) x + 10
B) 4x + 15
C) x - (5/4)
D) x
4) f(x) = 4x2 + 2x + 7; g(x) = 2x - 3
Find (gof)(x).
A) 4x2 + 2x + 4
B) 4x2 + 4x + 11
C) 8x2 + 4x + 17
D) 8x2 + 4x + 11
5) f(x) = (2/x); g(x) = 7x6
Find (gof)(x).
A) (448/x6)
B) (7x6/64)
C) (2/7x6)
D) (7x6/2)
6) f(x) = (2/x2); g(x) = x - 3
Find (gof)(x).
A) (2/(x - 3)2 )
B) (2/x2 - 3)
C) (-1/x2)
D) (2/x2) - 3
7) f(x) = √(7x + 5); g(x) = 5x2
Find (gof)(2).
A) √(145)
B) 952
C) 95
D) 20√(95)
8) f(x) = 3x + 6; g(x) = (1/x)
Find (fog)(2).
A) (1/12)
B) (15/2)
C) (25/2)
D) 6
9) f(x) = 7x + 6; g(x) = (-2/x)
Find (gof)(3).
A) - (2/27)
B) - 18
C) (4/3)
D) (79/3)
10) f(x) = 3x + 8; g(x) = 2x + 6
Find (fog)(4).
A) 50
B) 280
C) 34
D) 46
Complete numerical representations for the functions f and g are given. Evaluate the expression, if possible.
11) (fog)(3)
A) 8
B) 2
C) 6
D) Undefined
12) (fof)(1)
A) Undefined
B) 4
C) 15
D) 0
13) (gof)(1)
A) -5
B) -3
C) 11
D) 5
14) (fof)(1)
A) 3
B) 11
C) -2
D) 4
15) (f-1og)(5)
A) 11
B) Undefined
C) 6
D) 0
16) (fog-1)(3)
A) 11
B) 4
C) -4
D) Undefined
Use the graph to evaluate the expression.
17) (fog)(-2)
A) 3
B) 0
C) -3
D) 4
18) (gof)(-2)
A) 1
B) - 1
C) - (1/2)
D) - 2
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Show that f is not one-to-one by finding two inputs that result in the same output. Answers may vary.
19) f(x) = 2x2
20) f(x) = √(x2 - 9)
