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) (Show Source):