Let `N rarr N` be defined by f(x) = 3x. Show that 'f' is not an onto function.

Let f:N rarr Z be a function defined as f(x)=x-1000. Show that f is an into function.

Let A=R-{3} and B=R-[1]. Consider the function f:A rarr B defined by f(x)=((x-2)/(x-3)). Show that f is one-one and onto and hence find f^(-1)

If f:N rarr N is defined by f(x)=2x+5 then f is

Let f:N rarr N be defined by f(x)=x^(2)+x+1,x in N. Then is f is

Let f : N rarr N be defined as f(x) = 2x for all x in N , then f is

Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show that f is neither one-one nor onto.

Examine the function f:R rarr R be defined by f(x)=3-4x is one one,onto and one one onto.

Prove that f:N rarr N defined by f(x)=2x,x in N is one-one and into.

A function is said to be bijective if it is both one-one and onto, Consider the mapping f : A rarr B be defined by f(x) = (x-1)/(x-2) such that f is a bijection. Let g : R - {2} rarr R - {1} be defined by g(x) = 2f(x) - 1 . Then g(x) in terms of x is :

If f:R rarr R be the function defined by f(x)=4x^(3)+7, show that f is a bijection.