Inverses and Radical Functions · Exercise 64

Find the inverse of the functions with $a,b,c$ positive real numbers.

$f\left(x\right)=\sqrt[3]{ax+b}$

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

OpenStax, Algebra and Trigonometry 2e · §5.7 Inverses and Radical Functions · Exercise 64