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 need to substitute the value of g(x) into the function f(x).
First, let’s determine what g(x) is.
g(x) is the identity function, which means it just returns the value of x. In other words, g(x) = x.
So,
f(g(x)) = f(x)^(1/2)
Replacing the f(x) with x we get:
f(g(x)) = g(x)^(1/2)
Substituting g(x) = x, we have:
f(g(x)) = x^(1/2)
Therefore, the composition of the function f(x) = x^(1/2) and g(x) = x is f(g(x)) = x^(1/2).
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