[" Q14.Let "f:W rarr W" be defined as "f(n)=n-1," if "'n'" is odd "&f(n)=n+1," if "'n'" is even.Show that "],[qquad f" is one "-" one "&" onto."]

Let f: N rarr N be defined by : f(n)= {(n+1, if n is odd),(n-1, if n is even):} .Show that f is a bijective function.

Let f:N rarr N be defined by: f(n)={n+1,quad if n is oddn -1,quad if n is even Show that f is a bijection.

Let f: N rarr N be defined by : f(n) = {:{((n+1)/2, if n is odd),(n/2, if n is even):} then f is

Let f : N rarr N be defined by f(n) = {{:((n+1)/(2), if "n is odd"),((n)/(2),"if n is even"):} Show that f is many one and onto function.

Let f : WrarrW , be defined as f (n) = n – 1 , if n is odd and f (n) = n + 1 , if n is even. Show that f is invertible. Find the inverse of f . Here, W is the set of all whole numbers.

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

Let f:N rarr N defined by f(n)={{:((n+1)/(2) " if n is odd"),(n/2" if n is even"):} then f is

Let f:W rarrW be defined as f(n) = n - 1, if n is odd and f(n) = n + 1 , if n even. Show that f is invertible. Find the inverse of f. Here, W is the set all whole numbers.

Let f: N->N be defined0 by: f(n)={(n+1)/2, if n is odd (n-1)/2, if n is even Show that f is a bijection.

Let f:WrarrW be defined as f(n) = n-1 if n is odd and f(n) = n+1 if n is even. Show that f is invertible. Find the inverse of f. Here W is the set of all whole numbers.