SOLUTION: Find the composition of functions indicated: 1. g[f(x)] if g(x) = x2 and f(x) = x + 3. A. x2 + 6x + 9 B. x2 + x + 3 C. x2 - x

SOLUTION: Find the composition of functions indicated: 1. g[f(x)] if g(x) = x2 and f(x) = x + 3. A. x2 + 6x + 9 B. x2 + x + 3 C. x2 - x - 3 D. x3 + 3x2 E. x2 + 3 F. x2 + 9 2.

Question 1197895: Find the composition of functions indicated:
1. g[f(x)] if g(x) = x2 and f(x) = x + 3.
A. x2 + 6x + 9
B. x2 + x + 3
C. x2 - x - 3
D. x3 + 3x2
E. x2 + 3
F. x2 + 9

2. f[g(x)] if g(x) = x2 and f(x) = x + 3.
A. x2 + 6x + 9
B. x2 + 3
C. x3 + 3x2
D. x2 + x + 3
E. x2 - x - 3
F. x2 + 9

3. g[f(x)] if f(x) = 4x + 1 and g(x) = 2x2 - 5
A. 8x2 - 19
B. 8x3 + 6
C. 16x2 + 8x - 2
D. 8x2 - 20
E. 16x2 + 8x - 20
F. 32x2 + 16x - 3

4. f[g(x)] if f(x) = 4x + 1 and g(x) = 2x2 - 5
A. 32x2 + 16x - 3
B. 8x3 + 6
C. 16x2 + 8x - 2
D. 8x2 - 19
E. 8x2 - 20
F. 16x2 + 8x - 20

5. g[f(x)] if g(x)=√(x) and f(x)= x + 1
A. √(x + 1)
B. √(x) + 1
C. x2 + 1
D. x2 + x + 1
E. x2 + x
F. x + 1

6. f[g(x)] if g(x)=√(x) and f(x)= x + 1
A. √(x + 1)
B. x2 + 1
C. √(x) + 1
D. x2 + x
E. x + 1
F. x2 + x + 1

7. s[h(x)] if s(x) = 2x and h(x) = x2
A. 4
B. 2(x2)
C. 4x
D. x(2x)
E. x2
F. 2x2

8. h[s(x)] if s(x) = 2x and h(x) = x2
A. (2x)2
B. 4
C. 42x
D. x(2x)
E. x2
F. 2x2

9. n[m(t)] if n(x) = 3x and m(t) = √(t) + 1
A. √(3x) + 1
B. 3[√(t)]
C. √(t) + 3
D. 3[√(t) + 1]
E. 3[√(t)] + 3
F. √(3x) + 3

10. m[n(x)] if n(x) = 3x and m(t) = √(t) + 1
A. 3[√(t) + 1]
B. 3[√(t)] √(t) + 3
C. √(t) + 3
D. √(3x) + 1
E. √(3x) + 3
F. 3[√(t)] + 3
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

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