Answer: 1-x.
- A x
- B 1/x
- C -1/x
- D 1-x
Correct answer: D. 1-x
Explanation: f(f(x)) = f((x-1)/(x+1)). Substituting: numerator = (x-1)/(x+1) - 1 = -2/(x+1). Denominator = (x-1)/(x+1)+1 = 2x/(x+1). Result = -1/x.
Concept context
Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.