Composition of Functions · Exercise 27

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

Given the functions $f\left(x\right)=\frac{1-x}{x}\text{and}g\left(x\right)=\frac{1}{1+x^2},$ find the following:

ⓐ $\left(g\circ f\right)\left(x\right)$
ⓑ $\left(g\circ f\right)\left(\text{2}\right)$

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 27