Inverse Functions · Exercise 140

Use the functions $f\left(x\right)=3-2x^2+x\text{and}g\left(x\right)=\sqrt{x}$ to find the composite functions.

Express $H\left(x\right)=\sqrt[3]{5x^2-3x}$ as a composition of two functions, $f$ and $g,$ where $\left(f\circ g\right)\left(x\right)=H\left(x\right).$

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

OpenStax, Algebra and Trigonometry 2e · §3.7 Inverse Functions · Exercise 140