How To Find The Composition Of Functions: A Step-By-Step Guide With Examples

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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