The Composition of Functions | Understanding g(f(x)) and its Simplified Form

Find the composition of the function.f(x)=x^1/3 and g(x)=x Find g(f(x)).

To find the composition g(f(x)), we need to substitute f(x) into the function g(x)

To find the composition g(f(x)), we need to substitute f(x) into the function g(x).

The function g(x) = x does not change the input value. Therefore, we can substitute f(x) directly into g(x) by replacing x with f(x).

Since f(x) = x^(1/3), we can rewrite the composition g(f(x)) as g(f(x)) = g(x^(1/3)).

Substituting f(x) = x^(1/3) into g(x), we get g(f(x)) = g(x^(1/3)) = x^(1/3).

Hence, the composition of the functions f(x) = x^(1/3) and g(x) = x is g(f(x)) = x^(1/3).

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