Question

If f(x)= -6x+6 then f^-1(x)=

Answer 1

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


`\bf \stackrel{f(x)}{y}=-6x+6\qquad inverse\implies \boxed{x}=-6\boxed{y}+6 \\\\\\ x-6=-6y\implies \cfrac{x-6}{-6}=y\implies -\cfrac{x}{6}+1=\stackrel{f^(-1)(x)}{y}`