Mathematics

Mathematics

Problem

Consider the function f(x)=x2−4x2−5x+6f(x)=\dfrac{x^{2}-4}{x^{2}-5x+6}. a. (i) Find the domain of ff. b. (ii) List all points where ff is discontinuous. c. (iii) For each such point, determine whether the discontinuity is removable or non-removable, showing all algebraic working and relevant limits.

Browse the problem library