Question

Find the inverse of (x) = 1/x-5

Answer 1

$f(x)=\dfrac{1}{x-5}\\ y=\dfrac{1}{x-5}\\ x-5=\dfrac{1}{y}\\ x=\dfrac{1}{y}+5\\\\ \boxed{f^{-1}(x)=\dfrac{1}{x}+5}$