Question

Let f be a function f:N ⟶ N be defined by f(x) = 3x+2, x belongs to N

(i) Find the images of 1, 2, 3

(ii) Find the pre-images of 29, 53

(ii) Identify the type of function​

Pls give me the ans fast with step by step explanation...
will mark u brainliest...

Answer 1

Answer:

f(x) = 3x+2

i) Find the images of 1,2,3

Image when x = 1,

f(1) = 3(1) + 2

= 3 + 2

= 5

Image when x = 2

f(2) = 3(2) + 2

= 6 + 2

= 8

Image when x = 3

f(3) = 3(3) + 2

= 9 + 2

= 11

Images of 1,2,3 = {5,8,11}

ii) Pre-images of 29,53

Pre-image when f(x) = 29

f(x) = 3x + 2

29 = 3x + 2

29 - 2 = 3x

3x = 27

x = 27

3

x = 9

Pre-image when f(x) = 53

f(x) = 3x + 2

53 = 3x + 2

53 - 2 = 3x

3x = 51

x = 51

3

x = 27

Pre-images of 29,53 = {9,27}

This is one to one function as one pre-image has only one image.

Answer 2

Answer:

9 , 27 are correct answer hope its help you