Question

Find the inverse of each function.

Answer 1

as you should know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".

`\stackrel{f(x)}{y}=√(x)-5\implies \stackrel{\textit{quick switcheroo}}{x=√(y)-5}\implies x+5=√(y) \implies (x+5)^2=y \\\\\\ \stackrel{F~O~I~L}{(x+5)(x+5)}=y\implies x^2+10x+25=\stackrel{f^(-1)(x)}{y}`