Question

If ƒ(x) = 2x, then ƒ -1(x) = -2x ½x x - 2

Answer 1

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

$\bf \stackrel{f(x)}{y}=2x\implies \stackrel{\textit{switcheroo}}{x=2y}\implies \cfrac{x}{2}=y\implies \cfrac{1}{2}x=\stackrel{f^{-1}(x)}{y}$