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

Suppose $f$ and $g$ both are linear function with $f\left(x\right)=-2 x+1$ and $f\left(g\right(x\left)\right)=6x-7$, then slope of line $y=g\left(x\right)$ is -

The range of the function $f\left(x\right)=e^x-e^{-x},$ is-

The range of the function $f\left(x\right)=\frac{1}{\sqrt{4+3\cos x}} ,$ is

Which of the following is an onto function-

$f:\left[-1,1\right]\to \left[-1,2\right], f\left(x\right)=x+\left|x\right|$, is

If $f\left(x\right)=\cos \left[\frac{1}{2}{\pi }^2\right]x+\sin \left[\frac{1}{2}{\pi }^2\right]x, \left[x\right]$ denoting the greatest integer function, then-

If $2f\left(x^2\right)+3f\left(1/x^2\right)=x^2-1\forall x\in R_0$ then $f\left(x^2\right)$ is-

Let $f:R\to R$ be a function defined by $f\left(x\right)=\frac{x^2-3x+4}{x^2+3x+4}$ then $f$ is