Question

A function f from N to N defined by f(n)- 2n+5 for all n€N is

Answer 1

Step-by-step explanation:

f(n)=2n+3 is a linear function.

Hence f(n

1

)=f(n

2

)⇒n

1

=n

2

Here Domain is N but range is set of all odd number −{1,3}

Hence f(n) is injective or one-to-one function.

Answer 2

Answer:

f(n) is injective or one to one function.

Step-by-step explanation:

Given f: N→ N ( N is the set of natural numbers)

and f(n) = 2n + 5 for all n ∈ N

f(n) = 2n + 5 is a linear function

Hence f(n1) = f(n2)

⇒ n1 = n2.

Here Domain is N  but range is set of all odd number -{ 1, 5}

Hence, f(n) is injective or one to one function.