Question

Find the domain of the function f(x) = (log(3 - x)/(x² - 5x + 4)

Answer 1

Here, the function log(3 – x) is defined for

3 – x > 0

⇒ x < 3 x ∈(–∞, 3)

Also, x² – 5x + 4 = 0 gives x = 1, 4

Thus, D_f = (–∞, 3) – {1} = (–∞, 1) ∪ (1, 3)