Relations and F...

If $$f(x)=1-\dfrac {1}{x}$$, then $$ f\left[ f\left( \dfrac { 1 }{ x }  \right)  \right] $$ is

If $$A=\left\{ 2,3,5 \right\} ,B=\left\{ 4,6,8 \right\} $$, then the relation from $$A$$ into $$B$$ is 

If $$f(x)=\dfrac{a^{x}}{a^{x}+\sqrt{a}}(a>0)$$, then $$\sum_{r=1}^{2n-1}{2f\left(\dfrac{r}{2n}\right)}$$ is equal to 

Number real roots of $$f(f(x))=0$$ is-

If a set $$A$$ has $$n$$ elements then the number of relations defined on $$A$$ is 

If A= {a, b} then possible number of relation on the set A.

If n(A)=4, n(B)=3, $$n(A\times B\times C)=24,then\quad n(C)$$ is equal to 

Let A and B be two sets such that $$A\times B=\left\{ \left( a,1 \right) ,\left( b,3 \right) ,\left( a,3 \right) ,\left( b,1 \right) ,\left( a,2 \right) ,\left( b,2 \right)  \right\} ,$$ then 

A relation R is defined from {2,3,4,5} to {3,6,7,10} by XRY $$\Leftrightarrow $$ X is relatively prime to Y, then domain of R is 

If $$p(x)=\dfrac{x}{15}, x=1,2,3,4,5=0$$ otherwise, then $$p(x=1\ or\ 2)$$ is