SOLUTION: What is the inverse function of f(x)=x^2-6x if x is less than or equal to 3?

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Question 1167405: What is the inverse function of f(x)=x^2-6x if x is less than or equal to 3?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%5E2-6x
y=x%5E2-6x%2B9-9
y=%28x-3%29%5E2-9

%28y-3%29%5E2-9=x
%28y-3%29%5E2=x%2B9
y-3=0%2B-+sqrt%28x%2B9%29
y=3%2B-+sqrt%28x%2B9%29
Here you want y less than or equal to 3, and x must be greater or equal to 0.
Pick f%5E%28-1%29%28x%29=3-sqrt%28x%2B9%29.