D.K. Ramesh Kumar and C. V. Jayanna Solutions for Chapter: Set Theory, Exercise 1: Exercise 1

The domain and range of the function ${\sin }^{-1}x$ is

 If a function $f$ on $R$ is defined by $f\left(x\right)=4x-3$ then $f^{-1}\left(5\right)=$

If $f:R\to R$ is defined by $f\left(x\right)=x+2$ and $g:R\to R$ is defined by $g\left(x\right)=3x-7$ then $fog\left(0\right)$ is equal to

If $A=\{2, 4\}$ and $B=\{3, 4, 5\}$ then $(A\cap B)\times (A\cup B)=$

In the set $A=\{1, 2, 3, 4, 5\}$ a relation $R$ is defined by $R=\left\{\right(x, y):x, y\in A$ and $x<y\}$. Then $R$ is

In the set $X=\{a, b, c, d\}$ which of the following are functions in $X$?

If $A=\{1, 2, 3\}$ and $B=\{3, 8\}$ then $(A\cup B)\times (A\cap B)=$

Let $A=\{p, q, r\}$. Which of the following is an equivalence relation on $A$?