Embibe Experts Solutions for Chapter: Functions, Exercise 1: NDA & NA EE 2019 Paper 1 Mathematics

If $f\left(x\right)=3x^2-5x+p$ and $f\left(0\right)$ and $f\left(1\right)$ are opposite in sign, then which of the following is correct?

Let $y=3x^2+2$ If $x$ changes from $10$ to $10.1,$ then what is the total change in $y?$

What is the domain of the function $f\left(x\right)={\cos }^{-1}(x-2)?$

If $f\left(x\right)=2x-x^2,$ then what is the value of $f(x+2)+f(x-2)$ when $x=0?$

What is the minimum value of $|x-1|,$ where $x\in R?$

Which one of the following is correct in respect of the graph of $y=\frac{1}{x-1}?$

The domain of the function $f(x)=\sqrt{(2-x)(x-3)}$ is

If $f\left(x\right)=\frac{x-2}{x+2}, x\ne -2,$ then what is $f^{-1}\left(x\right)$ equal to ?