List of top Mathematics Questions on types of functions

If a set \(A\) contains \(3\) elements and another set \(B\) contains \(4\) elements, then the number of functions from \(A\) to \(B\), which are not injective, is

A real valued function \(f\) defined by \[ f(x)=|x|-x \] is

The domain of the function $f(x) = \sqrt{\log_{10} \left(\frac{5x - x^2}{4}\right)}$ is:

If $f : [1, \infty) \to [1, \infty)$ is defined by $f(x) = 2^{x(x-1)}$, then $f^{-1}(x) =$

The domain of the function \(f(x) = \sqrt{x - \sqrt{1 - x^2}}\) is

The domain of the function \(f(x) = \sqrt{x - \sqrt{1 - x^2\) is:}

The domain of the function \[ f(x)=\sin^{-1}(\sqrt{x-1}) \] is:

Let $A = \{x : x \in \mathbb{R}, \, x \text{ is not a positive integer}\}$. Define $f: A \to \mathbb{R}$ as $f(x) = \dfrac{2x}{x-1}$, then $f$ is:

Which of the following functions is not invertible?

The domain of the function $f(x) = \dfrac{\log_2 (x - 5)}{x^2 + 3x - 4}$ is:

The domain of the function $f(x) = 2\sin^{-1}(2x-1) - \dfrac{\pi}{4}$ is:

The inverse of the function $f(x) = x^2 + 4x + 4, \, x \leq -2$ is $f^{-1}(x) =$

Let \( f : \mathbb{R} \to \mathbb{R} \) and \( g : \mathbb{R} \to \mathbb{R} \) such that \( g(x) \neq 0 \) for all \( x \in \mathbb{R} \), and \( f = f^{-1} \). Which of the following is correct?

The function \( f(x) = \sec \left[ \log \left( x + \sqrt{1 + x^2} \right) \right] \) is ________ function

If \(f(x)+3f(1-x)=x+4\), then \(f(x)=\)

The function \( f(x) = \sec \left[ \log \left( x + \sqrt{1 + x^2} \right) \right] \) is ________ function

If \(f(x) = [2x]\), where \([x]\) denotes the greatest integer function in \(x\), then the image of \(\{-2.3, 2.9\}\) is

The range of the function $f(x)=\sqrt{x^{2}+4x+4}$ is:

The domain of the function $f(x)=\sqrt{x^{2}+x-2}$ is:

If \( f(x) = \frac{3^x}{3^x + \sqrt{3}} \), then \( f(x) + f(1-x) \) is equal to

The domain of the function \( f(x) = \sqrt{x - 3 + 4\sqrt{5 - x}} \) is

Let \( f(x) = \cos x \). Then the value of \( \frac{1}{2}[f(x+y) + f(y-x)] - f(x)f(y) \) is equal to

Let \( f(x) = x^2 - 10x - 19, \, x \in \mathbb{R} \). Then the inverse image of 5, \( f^{-1}(5) = \)

A function \( f \) from the set of natural numbers to integers defined by \[ f(n) = \begin{cases} \frac{n-1}{2}, & \text{when } n \text{ is odd} -\frac{n}{2}, & \text{when } n \text{ is even} \end{cases} \] is

Domain of the function \[ f(x) = \sqrt{\sin^{-1}(2x) + \frac{\pi}{6}} \text{ for real values of } x \]