List of top Mathematics Questions on Functions asked in MHT CET

If \(f(x) = \frac{2x-1}{x+5}\), \(x\neq -5\) then \(f^{-1}(x)\) is equal to

The domain of the function \(f(x) = \sqrt{x-1}+\sqrt{6-x}\) is...

The domain of the function \(f(x) = ^{(10-x)}C_{(x-6)}\) is...

If \(g(x) = 1-\sqrt{x}\) and \(f(g(x)) = 5+4\sqrt{x}+x\), then the value of \(f(6)\) is...

If \(f(x) = x^2\) and \(g(x) = [x^2]\) where \([\cdot ]\) represents the greatest integer function then, \((f\circ g)(\frac{3}{2})+(g\circ f)(\frac{3}{2})\) is equal to ...

The domain of the function \(f(x) = \sqrt{\frac{x}{1+x}}\) is \(\ldots\)

Let \(f(x) = ax+b\) and \(g(x) = cx+d\). The condition \(f(g(x)) = g(f(x))\) holds for all \(x\) if and only if ...

If \(f:R\rightarrow R\) and \(g:R\rightarrow R\) are defined as \(f(x) = 2x-|x|\) and \(g(x) = 2x+|x|\), then

If \(f(x-y)+f(x+y) = 2f(x)f(y)\) for all \(x,y\in R\), then \(f(x)\) is .....

If \(g(x)\) is the inverse function of \(f(x)\), where \(f(x) = \frac{5x+3}{4x-1}\), then \(g(1) =\)

The domain of the function \(f(x) = e^{\sqrt{5x-3-2x^2}}\) is

The domain of the function \(f(x) = \sqrt{x-1}+\sqrt{3-x}\) is ...

If \( f(x) = 3x + 6 \), \( g(x) = 4x + k \), and \( f \circ g(x) = g \circ f(x) \), then find \( k \):

Range of the function $f(x) = 3 + 2^x + 4^x$ is

The domain of the function $\log_{10}(x^2 - 5x + 6)$ is

If $f(x) = 3[x] + 5\{x + 1\}$, where $[x]$ is greatest integer function of $x$ and $\{x\}$ is fractional part function of $x$, then $f(-1.32) =$

Let \( A = \{10, 11, 12, 14, 26\} \) and let \( f : A \to \mathbb{N} \) be such that \( f(a) = \) highest prime factor of \( a \), where \( a \in A \), then range of \( f = \)

The domain of the function $f(x) = \frac{1}{\sqrt{x + |x|}}$ is

If $f(x) = 3[x] + 5\{x + 1\}$, where $[x]$ is greatest integer function of $x$ and $\{x\}$ is fractional part function of $x$, then $f(-1.32) =$