Relations and F...

For the pair of functions,
$f\left( x \right) =9x-4,   g\left( x \right) =7x-9$
Find $\left( f-g \right) \left( x \right)$.

Let a relation $R$ be defined by $R=\left \{(4,5), (1,4), (4,6), (7,6), (3,7)\right \}$. The relation $R^{-1}\circ R$ is given by

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

The relation $R$ defined on the set $A=\left \{1,2,3,4,5\right \}$ by $R=\left \{(x,y):|x^2-y^2| < 16\right \}$ is given by

What is the Cartesian product of $A = \left \{1, 2\right \}$ and $B = \left \{a, b\right \}$?

Given that $f\left( x \right) =5{ x }^{ 2 }-8x,g\left( x \right) ={ x }^{ 2 }-5x-24$. Find $\left( \displaystyle\frac { f }{ g }  \right) \left( x \right)$

Find $\left( f.g \right) \left( 2 \right)$ when $f\left( x \right) =x-1$ and $g\left( x \right) =-5{ x }^{ 2 }+14x+7$.

 $(x, y)$ and $(p, q)$ are two ordered pairs. Find the values of $p$ and $y$, if $(4y + 5, 3p - 1) = (25, p + 1)$

What is the first component of an ordered pair $(1, -1)$?

$(x, y)$ and $(p, q)$ are two ordered pairs. Find the values of $x$ and $p$, if $(3x - 1, 9) = (11, p + 2)$