Learn How To Find F(G(X)) In Math With Step-By-Step Guide – Simplify The Composition Of F(X) And G(X)

Find the composition of the function.f(x)=x^1/2 and g(x)=1x Find f(g(x)).

x^(-1/2)

To find f(g(x)), we first need to determine the output of g(x) and then input this value into f(x).

The function g(x) simply multiplies x by 1, so its output is equal to its input. Mathematically, we can express this as:

g(x) = 1 * x = x

Now we can substitute g(x) into f(x) wherever we see “x”. That is:

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

So we have reduced the problem to finding f(x) when x is the input.

The function f(x) takes the square root of the input, so we can compute:

f(x) = sqrt(x)

So, putting it all together, we have:

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

Therefore, the composition of f(x) and g(x) is simply the square root of x: f(g(x)) = sqrt(x).

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