The Composition of Two Functions | Finding g(f(x)) Using Substitution and Order of Operations

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

To find the composition of two functions, we substitute the expression of one function into the other, keeping in mind the order of operations

To find the composition of two functions, we substitute the expression of one function into the other, keeping in mind the order of operations. In this case, we want to find g(f(x)).

Given:
f(x) = x^(1/3)
g(x) = x

We substitute f(x) into g(x):
g(f(x)) = g(x^(1/3))

Now, we apply the function g to f(x) by replacing x with x^(1/3):
g(f(x)) = (x^(1/3))

Therefore, the composition of g(f(x)) is simply x^(1/3).

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