Understanding Function Composition | Finding f(g(x)) for g(x) = √x and g(x) = √x

Find the composition of the function.g(x)=sqrt(x) and g(x)=sqrt(x) find f(g(x)).

To find the composition of two functions, we substitute the expression of the inner function into the outer function

To find the composition of two functions, we substitute the expression of the inner function into the outer function. In this case, the inner and outer functions are both g(x) = √x. So, we need to find f(g(x)).

Let’s assume f(x) is the outer function. To find f(g(x)), we substitute g(x) = √x into f(x):
f(g(x)) = f(√x).

Now, without knowing the specific form of f(x), we can’t determine what f(√x) equals. However, we have successfully expressed f(g(x)) in terms of √x.

In summary, the composition of the functions g(x) = √x and g(x) = √x is f(g(x)) = f(√x).

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