Find functions f and g so that f ∘ g = H.
-H(x)=
A)f(x)= , g(x)=
B)f(x)= ; g(x)=
C)f(x)= ; g(x)=
D)f(x)= ; g(x)= - 9

Question

Find functions f and g so that f ∘ g = H.
-H(x)= 
A)f(x)= , g(x)= 
B)f(x)= ; g(x)= 
C)f(x)= ; g(x)= 
D)f(x)= ; g(x)= - 9

Quizplus · Accepted Answer

A function composition involves applying one function to the output of another function. In this case, H(x) is given and we need to find f(x) and g(x) such that f(g(x)) = H(x). Looking at the options, we can see that A has g(x) output a value that is a portion of H(x), and f(x) takes that value as input, adds some additional values to it, and outputs H(x). Therefore, A is the best choice.

Find Functions F and G So That F ∘ G