Bijective function

Let f: A rarr B and g : B rarr C be the bijective funtions. Then (gof)^-1 is

Optimization of the objective function is a process of

Define an identity function . Draw the graph of identify function and write Domain and Ranges ?

A is a set having 6 distinct elements. The number of distinct functions from A to A which are not bijections is

A is a set having 6 distinct elements . The number of distinct functions from A to A which are not bijections is

Let A = {x: -1lexle1} = B for each of the following functions from A to B . Find whether it is surjective, injective or bijective (i) f(x) = (x)/(2) (ii) g(x) = |x|

In each of the following cases, state whether the function is one-one, onto or bijective. Justify your answer. (i) f : R to R defined by f (x) =3-4x (ii) f : R to R defined by f (x) =1 + x ^(2)

Which of the following functions is an even function :