operations of functions Multiple Choice, algebra homework help
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1. Find [f ○ (g ○ h)](2) if f(x) = 2x – 1, g(x) = 4x, and h(x) = x2+ 1.
A. 39
B. 32
C. 47
D. 129
2. Find f[f(-3)] when f(x) = x2 + 1
A. -97
B. 83
C. 101
D. 10
3. Find [f ○ g](x) if g(x) = x + 1 and f(x) = 2x2 – 5x + 8
A. 2x2 – 4x + 9
B. 2x2 – x + 5
C. 2x2 – 5x + 5
D. 2x2 – x + 15
4. Find [g ○ f](x) if g(x) = x – 4 and f(x) = 3x2.
A. 3x2 – 4
B. 3x2 - 8x + 16
C. 3x2 - 24x + 48
D. 3x2 - 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. x2 + 4x + 4
D. x2 – 6x + 9
8. 
9. Find (f – g)(x) if f(x) = x2 - x – 6 and g(x) = 2x2 – 3x + 4
A. -x2 + 2x – 10
B. x2 – 4x – 2
C. 3x2 – 4x – 2
D. x2 + 2x – 10
10. Find (f + g)(x) if f(x) = x2 + 6x + 9 and g(x) = 2x + 6.
A. 9x2 + 15
B. x2 + 8x + 15
C. 81x2 + 15
D. 24x
