SOLUTION: For the following, find the composition of functions (fog)(x). 11. g(x) = 3x, f(x) = x + 1 A. 3x(x + 1) B. 4x + 1 C. 3(x)2 + 1 D. 3(x + 1) E. 3x + 1 F. x(x + 1) 12.

Algebra ->  Functions -> SOLUTION: For the following, find the composition of functions (fog)(x). 11. g(x) = 3x, f(x) = x + 1 A. 3x(x + 1) B. 4x + 1 C. 3(x)2 + 1 D. 3(x + 1) E. 3x + 1 F. x(x + 1) 12.      Log On


   



Question 1197898: For the following, find the composition of functions (fog)(x).
11. g(x) = 3x, f(x) = x + 1
A. 3x(x + 1)
B. 4x + 1
C. 3(x)2 + 1
D. 3(x + 1)
E. 3x + 1
F. x(x + 1)

12. g(x) = (2x) (1/2), f(x) = x2 + 1
A. 2x + (1/2)
B. (x2 + 1)
C. 2(x2)
D. 2x + 1
E. (x2 + 1)(2x)
F. (x2 + 1)(2x)1/2

13. g(x) = 3/(x - 1), f(x) = (x - 1)/(x - 3)
A. (x - 1)/(x - 3) * 3/(x - 1)
B. (x - 1)/(x - 1) * 3/(x - 1)
C. (x - 4)/(x - 2)
D. (x - 4)/(3x - 3)
E. (x - 4)/(3x - 6)
F. 3x2

14. g(x) = x2 - 8, f(x) = (-x + 1)1/2
A. (-x2 + 9)(1/2)
B. (-x2 - 8)(1/2)
C. (-x + 1)(1/2) (x2 - 8)
D. (-x + 1)(1/2) (x2 - 8)
E. (-x2 - 9)(1/2)
F. (x - 2)2

15. g(x) = (x2 -16)(1/2), f(x) = (3 - x)(1/2)
A. (3 - x)(1/2), (x2 -16)(1/2)
B. (-x-13)(1/2)
C. (3-(x2 -16)(1/4))
D. (3x2 + 16)
E. (3x(1/2) + 16)
F. (3-(x2 -16)(1/2))(1/2)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

find the composition of functions (fog)%28x%29
11. g%28x%29+=+3x, f%28x%29+=+x+%2B+1
(fog)%28x%29=f%28g%28x%29%29
(fog)%28x%29=f%283x%29
(fog)%28x%29=3x%2B1

E. 3x+%2B+1

12. g%28x%29+=+%282x%29%5E+%281%2F2%29, f%28x%29+=+x%5E2+%2B+1+ (assumig you have that)
(fog)%28x%29=f%28g%28x%29%29
(fog)%28x%29=f%28%282x%29%5E+%281%2F2%29%29
(fog)%28x%29=%28sqrt%282x%29%29%5E2%2B1
(fog)%28x%29=2x%2B1

D.+2x+%2B+1

13. g%28x%29+=+3%2F%28x+-+1%29, f%28x%29+=+%28x+-+1%29%2F%28x+-+3%29
(fog)%28x%29=f%28g%28x%29%29
(fog)%28x%29=f%28+3%2F%28x+-+1%29%29
(fog)%28x%29=%28+3%2F%28x+-+1%29-1%29%2F%283%2F%28x+-+1%29-3%29
(fog)%28x%29=%28+%284+-+x%29%2F%28x+-+1%29%29%2F%28%283+%282+-+x%29%29%2F%28x+-+1%29%29
(fog)%28x%29=%284+-+x%29%2F%283+%282+-+x%29%29
(fog)%28x%29=-%28x+-+4%29%2F%28-3+%28x+-+2%29%29
(fog)%28x%29=%28x+-+4%29%2F%283x+-+6%29

E. %28x+-+4%29%2F%283x+-+6%29

14. g%28x%29+=+x%5E2+-+8,+f%28x%29+=+%28-x+%2B+1%29%5E%281%2F2%29
(fog)%28x%29=f%28x%5E2+-+8%29
(fog)%28x%29=%28-%28x%5E2+-+8%29%2B1%29%5E%281%2F2%29
(fog)%28x%29=%28-x%5E2+%2B+8%2B1%29%5E%281%2F2%29
(fog)%28x%29=%28-x%5E2+%2B+9%29%5E%281%2F2%29

A.+%28-x%5E2+%2B+9%29%5E%281%2F2%29

15.+g%28x%29+=+%28x%5E2+-16%29%5E%281%2F2%29, f%28x%29+=+%283+-+x%29%5E%281%2F2%29
(fog)%28x%29=f%28%28x%5E2+-16%29%5E%281%2F2%29%29
(fog)%28x%29=%283-%28x%5E2+-16%29%5E%281%2F2%29%29%5E%281%2F2%29


F. %283-%28x%5E2+-16%29%5E%281%2F2%29%29%5E%281%2F2%29