How to Find the Composition of Functions | Explained with an Example (f(x) = x^(1/3) & g(x) = x)

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).

More Answers:
Understanding Function Composition | f(g(x)) = x^(1/2)
Simplifying the Composition of Functions | g(f(x)) = sqrt(x)
Finding the Composition of Functions | Step-by-Step Guide with Example of f(g(x)) = f(√x)

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