If f(x) = x/(x − 1) for x ≠ 1, then f(f(x)) is equal to: A. 1/x B. x C. x/(x + 1) D. x − 1 Answer: B) x Explanation: f(f(x)) = f(x) / (f(x) − 1) = [x/(x−1)] / [x/(x−1) − 1] = [x/(x−1)] / [(x − (x−1))/(x−1)] = x / 1 = x.

imo class 12 relations and functions

If f(x) = x/(x − 1) for x ≠ 1, then f(f(x)) is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If f(x) = x/(x − 1) for x ≠ 1, then f(f(x)) is equal to:

Answer: B) x

Explanation: f(f(x)) = f(x) / (f(x) − 1) = [x/(x−1)] / [x/(x−1) − 1] = [x/(x−1)] / [(x − (x−1))/(x−1)] = x / 1 = x.