# operations of functions Multiple Choice, algebra homework help

1. Find [f ○ (g ○ h)](2) if f(x) = 2x – 1, g(x) = 4x, and h(x) = x^{2}+ 1.

A. 39

B. 32

C. 47

D. 129

2. Find f[f(-3)] when f(x) = x^{2} + 1

A. -97

B. 83

C. 101

D. 10

3. Find [f ○ g](x) if g(x) = x + 1 and f(x) = 2x^{2} – 5x + 8

A. 2x^{2} – 4x + 9

B. 2x^{2} – x + 5

C. 2x^{2} – 5x + 5

D. 2x^{2} – x + 15

4. Find [g ○ f](x) if g(x) = x – 4 and f(x) = 3x^{2}.

A. 3x^{2} – 4

B. 3x^{2} - 8x + 16

C. 3x^{2} - 24x + 48

D. 3x^{2} - 48

5. Find g ○ f if f = {(3, 8), (4, 0), (6, 2), (7, – 1)} and g = {(0,4), (8,6), (3, 6), (-1, 8)}

A. {(0,0), (8,2), (3,2)}

B. {(0,0), (8,2), (3,2), (-1, 7)}

C. {(3, 6), (4, 4), (7, 8)}

D. {(3, 6), (4, 4), (6, 3), (6, 8), (7, 8)}

6. Find f ○ g if f = {(1,2), (3,4), (5,4)} and g = {(2,5), (4,3)}.

A. f ○ g = {(2, 4), (3, 4)}

B. f ○ g = {(2, 5), (4, 3)}

C. f ○ g = {(2, 5), (4, 3), (5, 2)}

D. f ○ g = {(2, 4), (4, 4)}

7.

A. x3+x2-8x – 12x+2

B. x3-4×2-3x + 18x-3

C. x^{2} + 4x + 4

D. x^{2} – 6x + 9

8.

9. Find (f – g)(x) if f(x) = x^{2} - x – 6 and g(x) = 2x^{2} – 3x + 4

A. -x^{2} + 2x – 10

B. x^{2} – 4x – 2

C. 3x^{2} – 4x – 2

D. x^{2} + 2x – 10

10. Find (f + g)(x) if f(x) = x^{2} + 6x + 9 and g(x) = 2x + 6.

A. 9x^{2} + 15

B. x^{2} + 8x + 15

C. 81x^{2} + 15

D. 24x