Question

Find the domain and range of the INVERSE of the given function. Square root x-3

Answer 1

$f(x)=\sqrt{x-3}\\ y=\sqrt{x-3}\\ y^2=x-3\\ x=y^2+3\\ f^{-1}(x)=x^2+3\\ D:x\in\matxbb{R}\\ R:y\in\langle3,\infty)$