Question

If the range of the function g(x) =3x+2 is {2,5,11,17}, find the domain. ​

Answer 1

(0,1,3,5)

Explanation:

Set g(x) equal to each respective range and solve for x

`3x + 2 = 2`

`3x + 2 = 5`

`3x + 2 = 11`

`3x + 2 = 17`

If we solve for each, we get

`x = 0`

`x = 1`

`x = 3`

`x = 5`

So our domain is

(0,1,3,5)