List of top Mathematics Questions on Domain of a Function asked in KCET

Which one of the following observations is correct for the features of the logarithm function to any base $b > 1$?

The trigonometric function y = tan x in the II quadrant

Let A = { x : x ∈ R; x is not a positive integer } Define f : A → R as f(x) = \(\frac{2x}{x-1}\), then f is

Domain of the function f(x) = \(\frac{1}{\sqrt{[x]^2-[x]-6}}\) where [x] is greatest integer ≤ x is

The domain of the function defined by f(x) = \(\cos^{-1}\sqrt{x-1}\) is