Let f : R - {3} → R - {1} ne defined by f(x) =(x - 2)/(x - 3). Let g : R → R be given as g(x) = 2x - 3.

Question

Let ƒ : R – {3} → R – {1} be defined by f(x) = \(\frac{x-2}{x-3}.\) Let g : R → R be given as g(x) = 2x – 3. Then, the sum of all the values of x for which ƒ^–1(x) + g^–1(x) = \(\cfrac{13}2\) is equal to

(1) 7

(2) 2

(3) 5

(4) 3

Answer 1

Correct option is (3) 5