Home
Class 12
MATHS
Show that the function f : N rarr N defi...

Show that the function `f : N rarr N` defined by `f(n){((n+1)/2 if n is odd),(n/2 if n is even):}` is onto but not one-one.

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the function f : R rarr R , defined by f(x)=|x| is neither one-one nor onto.

Prove that the function f:N rarr N defined by f(x)=x^2+2 is one-one but not onto.

Show that the function f : R rarr R , defined by {(-1,x 0):} is neither one-one nor onto.

Show that the function f : N' rarr Z, f(x)=100-x^2 is not bijective.

Show that the function f: R to R defined by f(x)=2x^(2) , is neither one - one onto.

Let f : ZxxZ rarr Z be defined by f(n,m)=n+m for all (n,m) in ZxxZ show that f is onto but not one-one.

Let f : W rarr W be defined as f(n)={(n-1, n is odd),(n+1, nis even):} Show that f is invertible such that f^-1=f

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