Find the composition of the function.f(x)=x^1/2 and g(x)=1x Find g(f(x)).
To find the composition of functions g(f(x)), we need to substitute the expression f(x) into the function g(x)
To find the composition of functions g(f(x)), we need to substitute the expression f(x) into the function g(x).
Given that f(x) = x^(1/2) and g(x) = 1x, we substitute f(x) into g(x):
g(f(x)) = g(x^(1/2))
To calculate this, we need to apply the function g(x) to x^(1/2). Substituting x^(1/2) into the function g(x) gives us:
g(f(x)) = 1 * (x^(1/2))
Since multiplying by 1 does not change anything, we can simplify the expression to:
g(f(x)) = 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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