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

Find the composition of the function.f(x)=1/x and g(x)=x+5 Find f(g(x)).

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

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

Given that f(x) = 1/x and g(x) = x + 5, we can substitute g(x) into f(x) to find f(g(x)):

f(g(x)) = f(x + 5)

Now, let’s substitute x + 5 into f(x):

f(g(x)) = 1 / (x + 5)

Therefore, the composition of the two functions is f(g(x)) = 1 / (x + 5).

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