Question

Determine the inverse function of f(x)={4x-1} " alt=" \sqrt{4x-1} " align="absmiddle" class="latex-formula">

Answer 1

$f(x)=\sqrt{4x-1}\\ y=\sqrt{4x-1}\\ y^2=4x-1\\ 4x=y^2+1\\ x=\dfrac{y^2+1}{4}\\ f^{-1}(x)=\dfrac{x^2+1}{4}$