Does the inverse function of the following real valued function of real variable exist ? Give reasons. $f\left(x\right)=\left|x\right|$

Find the domain of each of the following real valued functions of real variable: $f\left(x\right)=\frac{1}{x}$

Find the domain of each of the following real valued functions of real variable: $f\left(x\right)=\frac{1}{x-7}$

Find the domain of each of the following real valued functions of real variable: $f\left(x\right)=\frac{3x-2}{x+1}$

Find the domain of each of the following real valued function: $f\left(x\right)=\frac{1}{x-7}$

Which of the following real valued functions is/are not even functions

Find the domain of each of the following real valued functions of real variable: $f\left(x\right)=\frac{2x+1}{x^2-9}$

Find the domain of each of the following real valued functions of real variable: $f\left(x\right)=\sqrt{x-2}$ (ii) $f\left(x\right)=\frac{1}{\sqrt{x^2-1}}$ (iii) $f\left(x\right)=\sqrt{9-x^2}$ (iv) $f\left(x\right)=\sqrt{\frac{x-2}{3-x}}$

Find the domain of each of the following real valued function: $f\left(x\right)=\frac{x-1}{x-3}$

Find the domain and range of each of the following real valued function: $f\left(x\right)=\sqrt{x-3}$ .