Composition of Functions · Exercise 21

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.

$f\left(x\right)=\frac{1}{x-6},g\left(x\right)=\frac{7}{x}+6$

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 21