1. The problem statement, all variables and given/known data If a, b and c are nonzero distinct real numbers and c > 0. The even function given by: f(x) = (ax + b)/(x + c) is constant for -c < x < c and it's value is (i) a + b; (ii) a + c; (iii) c; (iv) b; (v) a 2. Relevant equations 3. The attempt at a solution Okay, so first I solved for x but got two different answers because the function is even: x = (b - f(x)c)/(f(x) - a) and x = (b - f(x)c)/(a - f(x)) Then I wanted to check the conditions on f(x) for -c < x < c: -c < (b - f(x)c)/(f(x) - a) But I don't know how to proceed, because I want to divide both sides by (f(x) - a) and I don't know if it's a negative number or not. What should I do here? How does the information given in the problem statement help me at this point? Am I taking a wrong approach at this problem?