Question

Given `f(x)= sqrt (x+8)` and `g(x)= 4x + 1` how do you find f(g(x)) and g(f(x))?

Answer 1

`f(g(x))=sqrt(4x+9)` and`g(f(x))=4sqrt(x+8)+1`

Explanation:

`f(x)=sqrt(x+8)` and `g(x)=4x+1`

Hence `f(g(x))=f(4x+1)=sqrt((4x+1)+8=sqrt(4x+9)`

and `g(f(x))=g(sqrt(x+8))=4sqrt(x+8)+1`