AP and TS EAMCET Engineering Model Paper 19

1

log(1−x)

is defined when 1 – x > 0 and 1 – x ≠ 1
⇒ x < 1 and x ≠ 0 ⇒ x ∈ (-∞, 1) - {0} = A
√x+2 is defined when x + 2 ≥ 0 ⇒ x ≥ -2 ⇒ x ∈ [-2, ∞] = B
∴ domain of f = A ∩ B = [-2, 1) - {0}