Relations and F...

If $$f(x) = 3x + 2, g(x) = x^2 + 1$$, then the value of $$(fog) (x^2 +1)$$ is

If $$f:A\rightarrow B $$ is surjective then

If $$f:(0,\infty )\rightarrow (0,\infty )$$ is defined by $$f(x)=x^{2}$$, then $$f^{-1}(x)=$$

$$f:R\rightarrow R , g:R\rightarrow R$$ and  $$f(x)= \sin x$$, $$g(x)=x^{2}$$ then $$fog(x)=$$

Find the value of $$\displaystyle \left( g\circ f \right) \left( 6 \right) $$ if $$\displaystyle g\left( x \right) ={ x }^{ 2 }+\frac { 5 }{ 2 } $$ and $$\displaystyle f\left( x \right) =\frac { x }{ 4 } -1$$.

The first component of all ordered pairs is called

The second component of all ordered pairs of a relation is

A ______ maps elements of one set to another set.

Suppose y is equal to the sum of two quantities of which one varies directly as x and the other inversely as x If y = 6 when x = 4 and $$\displaystyle y=\frac{10}{3}$$ when x = 3 then what is the relation between x and y?

If X is brother of the son of Y's son. How is X related to Y?