Exploring Function Composition | Finding g(f(x)) for g(x) = 1x and f(x) = x^1/2

Find the composition of the function.f(x)=x^1/2 and g(x)=1x Find g(f(x)).

To find the composition of two functions, we substitute the expression of one function into the other

To find the composition of two functions, we substitute the expression of one function into the other. In this case, we want to find g(f(x)), so we substitute f(x) (which is x^1/2) into g(x).

First, let’s write the expression for g(f(x)):
g(f(x)) = 1 * f(x)

Now, substitute f(x) = x^1/2:
g(f(x)) = 1 * (x^1/2)

Simplifying further:
g(f(x)) = x^1/2

Therefore, the composition of the function g(x) = 1x and f(x) = x^1/2 is g(f(x)) = x^1/2.

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