Answer
g(x) is even
Work Step by Step
g(x) = -f(x)
so, g(-x) = -f(-x) = -f(x) (as f(x) is even and hence f(x) = f(-x))
Therefore g(x) = g(-x), hence g(x) is even
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.