Mark (√) against the correct answer in the following:

Let f(x) = log (1 – x) + √x2 – 1. Then, dom (f) = ?


log (1 – x) + √(x2 – 1)


1 - x>0



X2 - 1≥0


X2 1



Taking intersection of the ranges we get


Dom (f) = (b) ( - ∞, - 1]

1