Find the composition of the function.f(x)=x^1/2 and g(x)=1x Find g(f(x)).
x^(-1/2)
To find g(f(x)), we need to substitute the function f(x) into g(x) wherever we see x.
So, first we find f(x):
f(x) = x^(1/2)
Next, we substitute f(x) into g(x), which gives us:
g(f(x)) = g(x^(1/2))
Now, we can simplify g(f(x)) by substituting x^(1/2) in place of x in the function g(x):
g(f(x)) = g(x^(1/2)) = 1 * x^(1/2)
Therefore, the composition of the functions f(x) and g(x) is:
g(f(x)) = x^(1/2)
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