Discover The Composition Of F(X) And G(X) With This Math Tutorial

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 the composition of f(x) and g(x):

Step 1: Substitute g(x) into f(x), which means replace x in f(x) with g(x).
f(g(x)) = 1/(g(x))^2

Step 2: Substitute g(x) into the expression for g(x).
g(x) = 1/x^3
f(g(x)) = 1/(g(x))^2 = 1/[(1/x^3)^2] = 1/(1/x^6) = x^6

Therefore, the composition of f(x) and g(x) is f(g(x)) = x^6.

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