SOLUTION: if f(x)=x^2 and g(x)=2^x what is g^-1(f(3))?

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Question 284056: if f(x)=x^2 and g(x)=2^x what is g^-1(f(3))?
Answer by Deina(147) About Me  (Show Source):
You can put this solution on YOUR website!
Just like everything else in algebra, work from the inside out

+f%28x%29=x%5E2+
+g%28x%29=2%5Ex+

+g%5E-1%28f%283%29%29+ rewritten as +g%28f%283%29%29%5E%28-1%29+
+f%283%29+=+3%5E2+=+9+
+g%289%29+=+2%5E9+=+512+
+512%5E%28-1%29+=+1%2F512+ or approximately +0.001953+
and bob's your uncle!