Mastering Function Composition: How To Calculate F(G(X)) With An Example In Math

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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