List of top Mathematics Questions on types of functions asked in MET

Let \( f:\mathbb{N} \to \mathbb{N} \) be defined as \[ f(n)= \begin{cases} \frac{n+1}{2}, & \text{if } n \text{ is odd} \\ \frac{n}{2}, & \text{if } n \text{ is even} \end{cases} \] Then \( f \) is:
Let \( f(x) = \frac{1}{\sqrt{1 + x^2}} \), then:
If $f: R \to R$ is defined by $f(x) = 3x - 4$, then $f^{-1(x)$ is: