

InterviewSolution
Saved Bookmarks
1. |
Find the domain of (i) f(x) = ln (x – 5)(ii) f(x) = log10 (x – 5x + 6) |
Answer» (i) f(x) = ln (x – 5) f is defined, when x – 5 > 0 ∴ x > 5 ∴ Domain of f = (5, ∞) (ii) f(x) = log10 (x2 – 5x + 6) x2 – 5x + 6 = (x – 2) (x – 3) f is defined, when (x – 2) (x – 3) > 0 ∴ x < 2 or x > 3 Solution of (x – a) (x – b) > 0 is x < a or x > b where a < b ∴ Domain of f = (-∞, 2) ∪ (3, ∞) |
|