Question

Which of the following is the inverse to the function f(x)= x^2-10

Answer 1

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

`\bf \stackrel{f(x)}{y}=x^2-10\implies \stackrel{switcheroo}{x=y^2-10}\implies x+10=y^2\implies √(x+10)=\stackrel{f^(-1)(x)}{y}`