Find the composition of the function.f(x)=x^1/3 and g(x)=x Find g(f(x)).
x^(1/6)
To find g(f(x)), we need to first evaluate f(x) and plug the result into g(x).
Given f(x) = x^(1/3), we can substitute this into g(x) to get:
g(f(x)) = g(x^(1/3))
Next, we need to evaluate x^(1/3) and plug the result into g(x):
g(f(x)) = g(x^(1/3)) = g((x^(1/3))^(1))
Simplifying, we have:
g(f(x)) = g(x^(1/3)) = g(x^(1/3)) = x^(1/3)
Therefore, the composition of the function f(x) and g(x) is simply x^(1/3).
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