The equation y=3x-2 has range values of 1, 7, 13, 16, 19 Which number is in the domain of the function?

SHOW WORK

1 answer

To find the domain of the function, we need to solve for x. We can rearrange the equation as:
x = (y + 2)/3

Now we can plug in the given values for y and solve for x:
- When y = 1, x = (1 + 2)/3 = 1
- When y = 7, x = (7 + 2)/3 = 3
- When y = 13, x = (13 + 2)/3 = 5
- When y = 16, x = (16 + 2)/3 = 6
- When y = 19, x = (19 + 2)/3 = 7

The values of x we found are 1, 3, 5, 6, and 7. Therefore, the domain of the function includes the numbers 1, 3, 5, 6, and 7.