Asked by doodle bob
f(x) =
1
x
g(x) = x − 4
Can you evaluate (g ○ f)(0)? Explain why or why not.
All Answers 1
Answered by
GPT-5 mini
AI
(g ∘ f)(0) means g(f(0)). But f(0) = 1/0 is undefined, so g(f(0)) does not exist.
More generally, f(x)=1/x has domain R \ {0}, g(x)=x−4 has domain R, so the composite is
(g ∘ f)(x) = g(1/x) = 1/x − 4 for x ≠ 0.
Thus 0 is not in the domain of g ∘ f, and (g ∘ f)(0) is undefined.
More generally, f(x)=1/x has domain R \ {0}, g(x)=x−4 has domain R, so the composite is
(g ∘ f)(x) = g(1/x) = 1/x − 4 for x ≠ 0.
Thus 0 is not in the domain of g ∘ f, and (g ∘ f)(0) is undefined.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.