Welcome to the article Let tex f x 313 tex and tex g x 1 tex Find tex f g x tex simplify your answer and include the domain. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
The composition f(g(x)) is undefined.
To find f(g(x)), we need to substitute g(x) into f(x). However, the given function g(x) is a constant function with g(x) = -1. When we substitute -1 into f(x), we get f(g(x)) = f(-1). However, the domain of f(x) is given as 313, which means that f(x) is only defined for x = 3. Since -1 is not in the domain of f(x), the composition f(g(x)) is undefined.
The given functions are:
f(x) = domain. 313
g(x) = -1
To find f(g(x)), we substitute g(x) into f(x):
f(g(x)) = f(-1)
However, the domain of f(x) is given as 313, which means that f(x) is only defined for x = 3. Since -1 is not in the domain of f(x), the composition f(g(x)) is undefined.
Therefore, the composition f(g(x)) is undefined and there is no simplification possible.
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Rewritten by : Brahmana