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 inner function into the outer function
To find the composition of two functions, we substitute the inner function into the outer function. In this case, our outer function is f(x) and our inner function is g(x).
Given:
g(x) = √(x)
g(x) = √(x)
We need to find f(g(x)), which means we will substitute g(x) into f(x).
f(g(x)) = f(√(x))
Now, let’s see if we can find what f(x) is.
Unfortunately, we don’t have a given function for f(x), so we cannot determine the exact composition f(g(x)) without that information. Therefore, we can only provide a general expression for f(g(x)).
Let’s denote f(x) as f(x) = f. When f(g(x)) = f(√(x)), we substitute f in place of f(x):
f(√(x)) = f
So, the composition of f(g(x)) is equal to f.
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