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, we can substitute the expression for one function into the other function
To find the composition of functions, we can substitute the expression for one function into the other function.
First, let’s find f(g(x)). We need to replace the variable x in f(x) with g(x):
f(g(x)) = f(1x)
Now, replace x in f(x) with 1x:
f(1x) = (1x)^(1/2)
To simplify this expression, remember that raising a number to the power of 1/2 is the same as taking its square root. So we have:
f(g(x)) = √(1x)
Therefore, the composition of the functions f(x) = x^(1/2) and g(x) = 1x is given by f(g(x)) = √(1x).
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