Answer: (2x+2)/(4).
- A (x+3)/(x-1)
- B (2x+2)/(4)
- C (x+3)/(2)
- D (2x+2)/(x-1+x-1)
Correct answer: B. (2x+2)/(4)
Explanation: g(x) = (x+3)/(x-1). f(g(x)) = (g(x)+1)/(g(x)-1) = [(x+3)/(x-1)+1] / [(x+3)/(x-1)-1] = [(x+3)+(x-1)] / [(x+3)-(x-1)] = (2x+2)/4.
Concept context
Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.