Question

PLEASE HELP
Given f(x)= (x-5)/3 SOLVE FOR f^-1(3)

Answer 1

as you already know, to get the inverse of any expression, we start off by doing a quick switcharoo on the variables, and then solve for "y", so let's do so,


`\bf \stackrel{f(x)}{y}=\cfrac{x-5}{3}\qquad inverse\implies \boxed{x}=\cfrac{\boxed{y}-5}{3} \\\\\\ 3x=y-5\implies 3x+5=\stackrel{f^(-1)(x)}{y}\\\\ -------------------------------\\\\ 3(3)+5=f^(-1)(3)\implies 14=f^(-1)(3)`