Home
Class 12
MATHS
[" Let "f:N rarr N" be defined by "f(pi)...

[" Let "f:N rarr N" be defined by "f(pi)={[(n+1)/(2)," if "pi" is odd "],[-(n)/(2)," if "n" is even "]" for "a prod pi in N" ."],[" State whether the function "/" is bijective.Justify your answer."]

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f: N to N be defined by f (n) = {{:((n +1)/( 2 ), if n " is odd" ), ( (n)/(2), "if n is even "):} for all n in N. State whether the function f is bijective. Justify your answer.

Let : f: N rarr N be defined by f(n)={{:((n+1)/2," if n is odd"),(n/2," if n is even"):} for all n inN . State whether the function f is bijective . Justify your answer.

Let f : N->N be defined by f(n)={(n+1)/2,"if n is odd " n/2,"if n is even " for all n in N . State whether the function f is bijective. Justify your answer.

Let f: N to N be defined by f(n) = {{:((n+1)/2, " if n is odd "),(n/2, " if n is even "):} for all n in N . State whether the function f is bijective.

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->N be defined by f(n)={(n+1)/2,""if""""n""""i s""""odd" " n/2,""if""""n""""i s""e v e n for all n in N . State whether the function f is bijective. Justify your answer.