SOLUTION: Find the inverse function of f(x) = 2(3x + 1)^2

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Question 1046583: Find the inverse function of
f(x) = 2(3x + 1)^2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use x,y.
y=2%283x%2B1%29%5E2
Interchange x and y and solve for the new y.
That new y is the inverse.
x=2%283y%2B1%29%5E2
x%2F2=%283y%2B1%29%5E2
3y%2B1=0+%2B-+sqrt%28x%2F2%29
3y=-1+%2B-+sqrt%28x%2F2%29
y=-1%2F3+%2B-+%281%2F3%29sqrt%28x%2F2%29
f%5E%28-1%29%28x%29=-1%2F3+%2B-+%281%2F3%29sqrt%28x%2F2%29
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