Question

19. Show that the function f: N N defined by f(m) = m2 + 2m + 3 is one-one​

Answer 1

Answer:

Step-by-step explanation:

Let m = 1 then (1)2+2(1)+3 = 7.

Let m = 2 then (2)2+2(2)+3=11.

Let m = 3 then (3)2+2(3)+3=15.

Let m = 4 then (4)2+2(4)+3=19.

Let m = 5 then (5)2+2(5)+3=23.

Here the function are we writes as:

F : N N

↓ ↓

1 ↔ 7

2 ↔ 11

3 ↔ 15

4 ↔ 19

5 ↔ 23