Find the composition of the function.f(x)=1/x^2 and g(x)=1/x^3 . Find g(f(x)).
x^6
To find g(f(x)), we need to first find f(x), and then use that value to find g(f(x)).
Given: f(x) = 1/x^2 and g(x) = 1/x^3
Substituting f(x) in g(x), we get:
g(f(x)) = g(1/x^2) = 1/(1/x^2)^3 = 1/(1/x^6) = x^6
Therefore, the composition of the function g(f(x)) is x^6.
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