Answer: (2x-3)/(3x-2).
- A (2x-3)/(3x-2)
- B (2x+3)/(3x+2)
- C (3x-2)/(2x-3)
- D (x-1)/(x+1)
Correct answer: A. (2x-3)/(3x-2)
Explanation: Let y = (2x-3)/(3x-2). Cross-multiply: y(3x-2) = 2x-3. x(3y-2) = 2y-3. x = (2y-3)/(3y-2). So f inverse(x) = (2x-3)/(3x-2) = f(x). This function is its own inverse (involution).
Concept context
Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.