Find the composition of the function.f(x)=1/x^2 and g(x)=1/x^3 . Find f(g(x)).
x^6
To find f(g(x)), we need to first find the composition of g(x) inside f(x), which means replacing x in f(x) by g(x).
So, g(x) = 1/x^3
Replacing x in f(x) with g(x), we get:
f(g(x)) = f(1/x^3) = 1/(1/x^3)^2 = 1/x^6
Therefore, f(g(x)) = 1/x^6
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