The range of function $f(x) = 4x^2 + 12x + 7, x \in \mathbb{R}$ is

The domain of the function $y = \sin^{-1}(x-1) + \cos^{-1}\sqrt{x-1}$ is:

If a function $f: R \to T$, defined by $f(x) = \sqrt{3}\sin x + \cos x$ is an onto function, then the interval of $T$ is

Match List-I with List-II

Where ℝ is set of real numbers

Choose the correct answer from the options given below:

Let $A = \{1, 2, 3\}$. Then, the number of relations containing $(1, 2)$ and $(1, 3)$ which are reflexive and symmetric but not transitive, is

The relation R in $\mathbb{R}$ (set of real numbers) is defined by $R = \{(a,b): a \leq b^3\}$, then R is

The number of all onto functions from the set {1, 2, .......n} to itself is