Let $f(x) = x^3$ be a function with domain {0, 1, 2, 3} then domain of $f^{-1}$ is :

The function $f: [-1, 1] \rightarrow R$ (set of real numbers) given by $f(x) = \frac{x}{x+3}$ is

Let f: $\mathbb{R} \rightarrow \mathbb{R}$ be defined as $f(x) = 10x$. Then (Where $\mathbb{R}$ is the set of real numbers)

The number of symmetric relations on set $A = \{1,2,3\}$ is

If $A = \{1, 2, 3, 4, ..., n\}$ and $B = \{x, y\}$, then the number of surjections from A to B is

For the relation R defined below, where $\mathbb{R}$ and N denotes set of real numbers and set of natural numbers respectively, Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Let $f: \mathbb{N} \to \mathbb{N}$ defined by $f(x) = 3x^2 + 2x + 7$, where $\mathbb{N}$ is set of natural numbers. Then $f(x)$ is: