Composition of Functions · Exercise 17

Use each pair of functions to find $f\left(g\left(x\right)\right)$ and $g\left(f\left(x\right)\right).$ Simplify your answers.

$f\left(x\right)=x^2+1,g\left(x\right)=\sqrt{x+2}$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §3.4 Composition of Functions · Exercise 17