The function f f\,f is defined by
f(x)=3x−5x−2\displaystyle f(x) = \frac{3x - 5}{x - 2}f(x)=x−23x−5, x∈Rx \in \mathbb{R}x∈R, x≠2x \neq 2x=2
Find f−1(4)f^{-1}(4)f−1(4).
Show that ff(x)=ax+bx−1\displaystyle ff(x) = \frac{ax + b}{x - 1}ff(x)=x−1ax+b, where a a\,a and b b\,b are integers to be found.