Discover The Composition Of Functions With Examples – G(F(X)) = X^(1/2)

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

x^(-1/2)

To find the composition of g(f(x)), we need to substitute f(x) into the expression for g(x).

Given f(x) = x^(1/2), we have g(f(x)) = g(x^(1/2)).

Now, to find g(x^(1/2)), we substitute x^(1/2) into the expression for g(x) which is g(x) = 1x.

So, g(f(x)) = g(x^(1/2)) = 1(x^(1/2)) = 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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