Find the composition of the function.f(x)=x^1/2 and g(x)=1x Find f(g(x)).
To find the composition of functions f(g(x)), we need to substitute g(x) into f(x)
To find the composition of functions f(g(x)), we need to substitute g(x) into f(x). In this case, f(x) = x^(1/2) and g(x) = 1x.
Substituting g(x) into f(x), we have:
f(g(x)) = f(1x)
Now, let’s simplify the expression further. g(x) = 1x implies that g(x) = x. So, we substitute x into f(x):
f(g(x)) = f(1x) = f(x)
Finally, we can rewrite the composition of functions as f(g(x)) = f(x). In other words, the composition of f(x) and g(x) is equal to f(x) itself.
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