Question

Find the inverse function of f(x)= t{x+4} +7" alt=" \sqrt{x+4} +7" align="absmiddle" class="latex-formula">

Answer 1

$f(x)=\sqrt{x+4}+7\\ y=\sqrt{x+4}+7\\ y-7=\sqrt{x+4}\\ (y-7)^2=x+4\\ x=(y-7)^2-4\\ f^{-1}(x)=(x-7)^2-4\ \text{ for } x\geq4$