Embibe Experts Solutions for Chapter: Functions, Exercise 1: JKCET 2019

If $f\left(x\right)+2f(1-x)=x^2+5$ for all the real values of $x,$ then the function $f\left(x\right)$ can be defined as

Which of the following number cannot be in the range of $f\left(x\right)=4{cosec}^{4}x-7+3{\sec }^{2}x+11?$

The domain of the function $f\left(x\right)=\frac{\log (x+5)}{x^2+4x+3}$ is

For which of the following values of $\text{'}x\text{'},$ does the function $f\left(x\right)=\log \left[\left\{\sqrt{\left(25-x^2\right)}\right\}/\left(2-x\right)\right]$have the real values?

The two sets $P$ and $Q$ are given as $P=\{1,2,3,4\}$ and $Q=\{1,2\}.$ How many onto functions are possible form $P$ to $Q?$

The mapping  $f: N\to N$ given by $f\left(n\right)=n^3+3,$ $n\epsilon N$ where $N$ is the set of natural number, is

Which of the following functions is neither even nor odd?

Which of the following functions is inverse of itself?