Question

Find the inverse of f(x) = 1/ x + 8

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 solving for "y", let's do so.

`\stackrel{f(x)}{y}~~ = ~~\cfrac{1}{x+8}\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{1}{y+8}} \implies y+8=\cfrac{1}{x}\implies {\large \begin{array}{llll} \stackrel{f^(-1)(x)}{y}=\cfrac{1}{x}-8 \end{array}}`