Question

Find the domain of the function f(x) = log(x/(x - 2))

Answer 1

Here, the function f is defined for x/(x - 2) > 0

⇒ x < 0 and x > 2

⇒ x ∈(–∞, 0) ∪ (2, ∞)

Thus D_f = (–∞, 0) ∪ (2, ∞)