Finding the Inverse Function Value

Consider the function $$ f(x) = 2x^3 - 3x^2 + 5 $$.

Let $$ g(x) $$ be defined as the inverse of the function $$ f(x) $$, such that if $$ y = f(x) $$, then $$ x = g(y) $$.

Your task is to find the value of $$ g(5) $$ and provide your answer in the grid format, including both decimal and fraction representations.