Inverse Functions · Review Exercise 94

Find $\left(f\circ g\right)$ and the domain for $\left(f\circ g\right)\left(x\right)$ for each pair of functions.

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

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

OpenStax, Algebra and Trigonometry 2e · §3.7 Inverse Functions · Review Exercise 94