The domain of definition of $f(x) = \frac{\log_2(x+3)}{x^2+3x+2}$ is

The range of the real valued function $f(x) = |x-2| + |x-3|$ is

The set of all values of $x$ and the set of all values of $a$ for which the real-valued function $f(x) = \sqrt{\log_a(x - [x])}$ is defined are respectively:

The range of the function $f(x) = -\sqrt{-x^2-6x-5}$ is

The range of the function $f(x) = \sqrt{9 - x^2}$ is

Let $\rho$ be a relation defined on the set of natural numbers $N$, as $\rho = \{(x, y) \in N \times N: 2x + y = 41\}$. Then the domain $A$ and range $B$ are: