If $f:R\to R,$ such that $f\left(x\right)=\frac{e^x+e^{-x}}{e^x-e^{-x}},$ then $f$ is

Important Questions on Sets, Relations and Functions

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 1 - Sets, Relations and Functions>MHT-CET 2020 (12-Oct Shift-1)>Q 5

If $\left|3x-2\right|\le \frac{1}{2}$, then the complete set of values of $x$ is

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 1 - Sets, Relations and Functions>MHT-CET 2019>Q 6

If $f\left(x\right)=3x+6,g\left(x\right)=4x+k$ and $fog\left(x\right)=gof\left(x\right)$ then $k=$

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 1 - Sets, Relations and Functions>MHT-CET 2020 (13-Oct Shift 1)>Q 7

If $f:R\to R, g:R\to R$ are two functions defined by $f\left(x\right)=2x-3, g\left(x\right)=x^3+5$, then ${\left(fog\right)}^{-1}\left(x\right)=$