Question

Let h(x)=(g o f)(x)=√x+3 Which of the following could be a possible decomposition of h(x)?

Answer 1

In this case, h(x) = sqrt(x) + 3

A. f(x)=x+3; g(x)=√x 
B. f(x)=x; g(x)=x+3 
C. f(x)=√x; g(x)=x+3 
D. f(x)=3x; g(x)=√x

Again, you need to find a function f(x) that once evaluated in g(x) gives us h(x)

h(x) =  g(f(x))

Looking at the options, the answer is C.

g(f(x)) = f(x) + 3 = sqrt (x) + 3 = h(x)

Answer 2

The answer is D. :) DDDDDD