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Find the indicated composite for the pair of functions.

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)

Solution
5 (1 Ratings )

Solved
Algebra 2 Years Ago 356 Views
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