Show that f : N → N, given by f(x) x 1,if x is odd, x 1,if x is even is both one-one and onto.

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Show that f : N→N, given by f(x)={x+1, if is odd, x-1, if x is even is both one-one and onto. Show that f : N→N, given by f(x)={x+1, if is odd, x-1, if x is even is both one-one and onto.
INJECTIVE, SURJECTIVE, and BIJECTIVE FUNCTIONS - DISCRETE MATHEMATICS INJECTIVE, SURJECTIVE, and BIJECTIVE FUNCTIONS - DISCRETE MATHEMATICS
odd even functions odd even functions
Let `fWrarrW` be defined as f(n) = n-1 if n is odd and br f(n) = n+1 if | Class 12 Maths | Doubtnut Let `fWrarrW` be defined as f(n) = n-1 if n is odd and br f(n) = n+1 if | Class 12 Maths | Doubtnut