Question 85307
{{{f(x)=(x-6)^2}}} Start with the given function


{{{x=(f(x)-6)^2}}} Switch variables f(x) and x.

Now the goal to find the inverse is to solve for f(x)


{{{sqrt(x)=f(x)-6}}} Take the square root of both sides


{{{sqrt(x)+6=f(x)}}} Add 6 to both sides


So the inverse of {{{f(x)=(x-6)^2}}} is {{{f(x)=sqrt(x)+6}}}