Embibe Experts Solutions for Chapter: Functions, Exercise 1: VITEEE 2017

The domain of the function $f\left(x\right)=\sqrt{\frac{1}{\left|x-2\right|-\left(x-2\right)}}$ is

The range of the function $f\left(x\right)=\frac{1}{2-\cos 3x}$ is

The number of points of discontinuity of the function $f\left(x\right)=x-\left[x\right]$ in the interval $\left(0,7\right)$ are, where $\left[·\right]$ is the greatest integer function.

Let $f:R\to R, g:R\to R$ be two functions such that $f\left(x\right)=2x-3, g\left(x\right)=x^3+5$. The function ${\left(fog\right)}^{-1}\left(x\right)$ is equal to