Question

For the information h(x)=2^(6x+7), find two functions f(x) and g(x) such that h(x)=f(g(x))

Answer 1

f(x) = 2^x; g(x) = 6x+7

Explanation:

h(x)=2^(6x+7) can be decomposed as follows:

f(x) = 2^x and g(x) = (6x+7)

Note that g(x) = (6x+7) becomes the input to f(x):

f(x) = 2^x => f( g(x) ) = 2^(6x+7).

This is called a "composite function."

Answers: f(x) = 2^x; g(x) = 6x+7