Find the composition of the function.f(x)=x^1/3 and g(x)=x Find g(f(x)).
To find the composition of functions, we substitute the expression of one function into the other function
To find the composition of functions, we substitute the expression of one function into the other function.
In this case, we have f(x) = x^(1/3) and g(x) = x. We want to find g(f(x)).
The composition g(f(x)) means we first apply the function f(x) and then apply the function g(x) to the result.
Let’s substitute f(x) = x^(1/3) into g(x):
g(f(x)) = g(x^(1/3))
Now, substitute x^(1/3) into the function g(x):
g(f(x)) = g(x^(1/3)) = x^(1/3)
So, g(f(x)) simplifies to x^(1/3).
Therefore, the composition g(f(x)) is x^(1/3).
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