SOLUTION: find the inverse of the function f(x)= 3x^2+12x+6

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Question 88105: find the inverse of the function f(x)= 3x^2+12x+6
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 3x^2 + 12x + 6
Or
y = 3x^2 + 12x + 6
f^(-1)(x) ~> x = 3y^2 + 12y + 6
x+-+6+=+3y%5E2+%2B+12y
x%2F3+-+2+=+y%5E2+%2B+4y
x%2F3+%2B+2+=+%28y+%2B+2%29%5E2
0+%2B-+sqrt%28x+%2B+6%29%2F3+=+y+%2B+2
-2+%2B-+sqrt%28x+%2B+6%29%2F3+=+y
Or
-2+%2B-+sqrt%28%28x+%2B+6%29%2F3%29+=+f%5E%28-1%29%28x%29