Question 25
Consider a function $g$ such that
$$[g(x)]^2\left[g\left(\frac{-3+2x}{x-1}\right)\right]^3\left[g\left(\frac{x-3}{x-2}\right)\right]^5=2x+1.$$
Given that $g(0)=p^a/q^b$, where $a,b\in\mathbb Q$ and $p\ne q$ are distinct primes, find $\lceil p+q+a+b\rceil$.
$$[g(x)]^2\left[g\left(\frac{-3+2x}{x-1}\right)\right]^3\left[g\left(\frac{x-3}{x-2}\right)\right]^5=2x+1.$$
Given that $g(0)=p^a/q^b$, where $a,b\in\mathbb Q$ and $p\ne q$ are distinct primes, find $\lceil p+q+a+b\rceil$.