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

The domain of definition of the function $f\left(x\right)={\log }_{3/2}{\log }_{1/2}{\log }_{\pi }{\log }_{\pi /4}x$ is

If $f(x+10)+f(x+4)=0$, there $f\left(x\right)$ is a periodic function with period

Let $f\left(x\right)=\left|\sin x\right|+\left|\cos x\right|,g\left(x\right)=\cos \left(\cos x\right)+\cos \left(\sin x\right)$,  $h\left(x\right)=\left\{-\frac{x}{2}\right\}+\sin \pi x$, where$\{ \}$ represents the fractional function, then the fundamental period of

If $f\left(x+\frac{1}{y}\right)+f\left(x-\frac{1}{y}\right)=2f\left(x\right)f\left(\frac{1}{y}\right)$ for all $x$, $y\in R-\left\{0\right\}$ and $f\left(0\right)=\frac{1}{2}$, then $f\left(4\right)$ is

If $f\left(x\right)=a\left(x^n+3\right);f\left(1\right)=12,f\left(3\right)=36$; then $f\left(2\right)$ is equal to

Which of the following function is an even function?

Let $f\left(x\right)={\sin }^{-1}\left(\frac{1}{\left|x^2-1\right|}\right)+{\cos }^{-1}\left(\frac{1-2\left|x\right|}{3}\right)$, then $D_t$ is...

Identify the correct statement