Tamil Nadu Board Solutions for Chapter: Relations and Functions, Exercise 15: Unit Exercise

When will $A\times B$ be equal to $B\times A?$

Given that $f\left(x\right)=\left\{\begin{array}{cc}\sqrt{x-1}& x\ge 1\\ 4& x<1\end{array}\right.$. Find $f\left(0\right)$.

Given that $f\left(x\right)=\left\{\begin{array}{cc}\sqrt{x-1}& x\ge 1\\ 4& x<1\end{array}\right.$. If $f\left(3\right)=\sqrt{k}$, then $k$ is

Given that $f\left(x\right)=\left\{\begin{array}{cc}\sqrt{x-1}& x\ge 1\\ 4& x<1\end{array}\right.$. If $f(a+1)=\sqrt{k}$ the find the value of $k$. $($Given that $a\ge 0)$.

The functions $f$ and $g$ are defined by $f\left(x\right)=6x+8, g\left(x\right)=\frac{x-2}{3}$. Calculate the value of $gg\left(\frac{1}{2}\right)$

Write the domain of the following real function

$p\left(x\right)=\frac{-5}{4x^2+1}$

Write the domain of the following real function

$g\left(x\right)=\sqrt{x-2}$

Write the domain of the following real functions

$h\left(x\right)=x+6$