Find functions f and g so that h(x) = (f ∘ g)(x).
h(x) = (6x - 14)^8

A. f(x) = 6x - 14, g(x) = x^8

B. f(x) = 6x^8 - 14, g(x) = -14

C. f(x) = x^8, g(x) = 6x - 14

D. f(x) = (6x)^8, g(x) = -14

I would very much appreciate any kind of help! :)

Question

Find functions f and g so that h(x) = (f ∘ g)(x).
h(x) = (6x - 14)^8

A. f(x) = 6x - 14, g(x) = x^8

B. f(x) = 6x^8 - 14, g(x) = -14

C. f(x) = x^8, g(x) = 6x - 14

D. f(x) = (6x)^8, g(x) = -14

I would very much appreciate any kind of help! :)

anonymous · Answer

you could use $g(x)=6x-14$ and then $f(x)=x^8$
that way, 
$$f\circ g(x)=f(6x-14)=(6x-14)^8$$

kingstone · Answer

@satellite73 I'm just trying to make sure, so do you believe the answer is C?