How to Find the Composition of Functions | Step-by-Step Guide with Examples

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

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

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

Given f(x) = x^1/2 and g(x) = 1x, we replace x in f(x) with g(x):

f(g(x)) = (g(x))^1/2.

Substituting g(x) = 1x, we have:

f(g(x)) = (1x)^1/2.

Now, simplify the expression:

f(g(x)) = 1x^1/2.

Using the property of exponents, where (a^m)^n = a^(m*n), we have:

f(g(x)) = 1*x^(1/2) = √x.

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

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How to Find the Composition of Functions: Step-by-Step Guide with Examples

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