Function

The range of the function $f(x)=\dfrac{x-2}{2-x},x\neq 2$ is

Which of the following functions are periodic?

Let $f$ and $g$ be two real valued functions defined by $f(x)=x^{2}+2$ and $g(x)=x+2$, then $\left( \dfrac{f}{g} \right)(2)=$

The composite gof, if $f=\{(1,3),(2,4),(3,5),(4,6)\}$, $g=\{(3,6),(4,8),(5,10),(6,12)\}$ is

The diagram given below shows that

If random variable waiting time in minutes for bus and probability density function of $x$ is given by

then probability of waiting time not more than 4 minutes is equal to

Which of the following quantified statement is true?

Number of solution of equation $|x-1|=e^{x}$ is -

Let $f(x)=x,g(x)=\dfrac{1}{x}$ and $h(x)=f(x)g(x)$.
Then, $h(x)=1$ if and only if

If $R\rightarrow R,g:R\rightarrow R$ and $h:R\rightarrow R$ are such that $f(x)=x^{2},g(x)=\tan x$ and $h(x)=\log x$, then the value of [ho(gof)], if $x=\dfrac{\sqrt{\pi}}{2}$ will be :

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

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

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

If $f(x)=\dfrac{x+2}{x^{2}-3 x+1}$, then the values of $x$ for which $f(x)$ is not defined are

Let $A=\{1,2,3\}$ and $B=\{1,2,4\}$, then $f=\{(1,1),(1,2)$, $(2,1),(3,4)\}$ is a