SOLUTION: fonction of composition (Fog)(x)=1/x^2 and g(x)= 2x+1 find f(x)=? thanks

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Question 1104793: fonction of composition (Fog)(x)=1/x^2 and g(x)= 2x+1
find f(x)=?
thanks
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


We want f(g(x)) to be equal to 1/x^2, or x^-2.

Solve the function g(x) for the variable x: g%28x%29+=+2x%2B1 --> x+=+%28g%28x%29-1%29%2F2

Then f(x) must be %28%28x-1%29%2F2%29%5E%28-2%29

CHECK: