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 first substitute g(x) in place of x in the expression for f(x).
f(g(x))= (g(x))^(1/2)
Here, g(x) = x, so we can substitute x in place of g(x) in the above expression.
f(g(x))= (x)^(1/2)
Therefore, f(g(x))= sqrt(x)
Hence, the composition of the function f(x)=x^(1/2) and g(x)=x is f(g(x))=sqrt(x).
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