SOLUTION: Hello! Find the inverse function of f. f(x) = √8x + 2 thanks for your help!

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Question 198356: Hello!
Find the inverse function of f.
f(x) = √8x + 2
thanks for your help!
Answer by arallie(162) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=sqrt%288x%29%2B2
f%5E-1%28x%29=?
y=sqrt%288x%29%2B2
Invert
x=sqrt%288y%29%2B2
Solve for y
x%2B2=sqrt%288y%29
8y=%28x%2B2%29%5E2
y=%28%28x%2B2%29%5E2%29%2F8%29
So
If f%28x%29=sqrt%288x%29%2B2
Then f%5E-1%28x%29=%28%28x%2B2%29%5E2%29%2F8