Solving Function Composition: Finding F(G(X)) When G(X) = Sqrt(X) And F(Y) = Y^2

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

x^(1/6)

First, let’s define the function f(g(x)). It means that we will have an inner function (g(x)) that takes some input value ‘x’, then the output of this inner function will be passed on to the outer function (f), which will give us the final output.

So, for the given question, we need to find f(g(x)), where g(x) = sqrt(x).

Let’s assume that the function f is defined as f(y) = y^2.

Now, we will substitute the expression of g(x) in the function f(y) to get the final expression of f(g(x)).

f(g(x)) = f(sqrt(x))

= (sqrt(x))^2 \[Substituting g(x) = sqrt(x) in f(y) = y^2\]

= x

Therefore, the composition of the functions g(x) = sqrt(x) and f(y) = y^2 or f(g(x)) = x.

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