Embibe Experts Solutions for Exercise 2: EXERCISE 2.2

The range of $f\left(x\right)=sgn\left(2^x\right)+sgn\left(\left|x-5\right|\right)$ is

For any real number $x$, we have $\sqrt{x^2}$ equals

If $x<5$ then $\sqrt{x^2-10x+25}+x+7$ is equal to

$\left|\left|x-2\right|>-3\right|>1$, then $x$ belongs to

If $\left|\left|x-3\right|-4\right|<2$, then $x$ belongs to

If a function $f:R\to R$ be defined by $f\left(x\right)=\left\{\begin{array}{cl}3x-2& ; x<0\\ 1& ; x=0, \mathrm{then} f\left(-1\right) \mathrm{equals}\\ 4x+1& ;x>0\end{array}\right.$

Let $f\left(x\right)=\frac{1}{\sqrt{x+\left|x\right|}}$, then domain of $f$ is

Domain of $f\left(x\right)=\sqrt{\frac{3-\left|x\right|}{\left|x\right|-7}}$ is