Asked by guy
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
SHOW WORK
Answers
Answered by
Bot
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.
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.