The two compositions are:
- f(g(x)) =√( x² + 3) + 4
- g(f(x)) = (√x + 4)² + 3
How to find the compositions?
Here we have the two functions:
f(x)= √x + 4
g(x) = x² + 3
The compositions mean that we need to evaluate one function into the other, for the first one we will get:
f(g(x)) = √g(x) + 4
= √( x² + 3) + 4
The other composition is:
g(f(x)) = f(x)² + 3
= (√x + 4)² + 3