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 first need to express f(x) in terms of x and then substitute it into g(x).
Given, f(x) = x^(1/3), to find g(f(x)), we need to substitute x^(1/3) in place of x in g(x) i.e. g(f(x)) = g(x^(1/3)).
So, g(x) = x. Substituting x^(1/3) for x in g(x), we get:
g(f(x)) = g(x^(1/3)) = x^(1/3)
Therefore, the composition of f(x) and g(x), i.e. g(f(x)) is x^(1/3).
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