Composition of Functions · Exercise 45

Find functions $f\left(x\right)$ and $g\left(x\right)$ so the given function can be expressed as $h\left(x\right)=f\left(g\left(x\right)\right).$

$h\left(x\right)={\left(\frac{1}{2x-3}\right)}^2$

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 45