Embibe Experts Solutions for Chapter: Functions, Exercise 1: SRMJEEE (UG) 2015

If $f\left(x\right)=\frac{x}{x-1},f\left(3x\right)$ in terms of $f\left(x\right)$ is

The domain of the function $f\left(x\right)=\frac{{\sin }^{-1}(x-3)}{\sqrt{9-x^2}}$ is

The relation $R:A\to B,$ where $A=\{1,2,3,4,5\}$ and $B=\{u,v,x,y,z\}$ is a function if $R$ is given by

Let $f:R\to R$ be a function defined by $f\left(x\right)=\left|x\right|+1$. Then which of the following is true?

Let $f\left(x\right)=x^2$ and $g\left(x\right)=2^x$ then the solution set of $fog\left(x\right)=gof\left(x\right)$ is

Let $f:N\to Y$ ($N$ is the set of natural numbers) defined as $f\left(x\right)=4 x+3$ where $Y=\{y\in N;y=4x+3$ for some $x\in N\}$. Then the inverse of $f\left(x\right)$ is equal to