Give an example to show that the function gof is defined and onto though the functions both f and g are not necessarily onto.

Give an example to show that the function gof is defined and one-one though the functions both f and g are not necessarily one-one.

Show that the function f(x)=3x+2 is one-one and onto.

Give two example of state function..

Give an example of a function which is neither one - one nor onto

Give an example of a function which is one one but not onto

Prove that the intersection of two equivalence relations in a set is an equivalence relation and give an example to show that the union of two equivalence relations in a set is not necessarily an equivalence relation.

Give an example of a function f:R to R for which fof = f

Give an example of a function which is onto but not one - one.