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

range is value of y

so y=3x-2 substitute each following 1, 7, 13, 16 , and 19 into y and solve for x should be the domains
x {1,3,5,6,7 }

To find out which number is in the domain of the function, we need to determine which numbers can be plugged into the function and produce a valid output.

The function y = 3x - 2 represents a linear equation where x is the independent variable and y is the dependent variable. We are given the values of y: 1, 7, 13, 16, and 19.

Let's substitute these values into the equation to find the corresponding x-values:

1 = 3x - 2
Adding 2 to both sides:
3 = 3x
Dividing both sides by 3:
1 = x

When y = 1, the corresponding x-value is 1.

7 = 3x - 2
Adding 2 to both sides:
9 = 3x
Dividing both sides by 3:
3 = x

When y = 7, the corresponding x-value is 3.

13 = 3x - 2
Adding 2 to both sides:
15 = 3x
Dividing both sides by 3:
5 = x

When y = 13, the corresponding x-value is 5.

16 = 3x - 2
Adding 2 to both sides:
18 = 3x
Dividing both sides by 3:
6 = x

When y = 16, the corresponding x-value is 6.

19 = 3x - 2
Adding 2 to both sides:
21 = 3x
Dividing both sides by 3:
7 = x

When y = 19, the corresponding x-value is 7.

Therefore, the numbers 1, 3, 5, 6, and 7 are all in the domain of the function y = 3x - 2.

To determine which number is in the domain of the function, we need to understand what the domain of a function refers to. The domain of a function is the set of all possible input values for which the function is defined.

In the given function, y = 3x - 2, there is no specific restriction mentioned for the domain. Therefore, the domain can be assumed to be all real numbers unless otherwise stated. This means that any real number can be an input to the function.

Looking at the given numbers: 1, 7, 13, 16, and 19, we can conclude that all of them can be valid inputs for the function because they are all real numbers.

So, the number 1, 7, 13, 16, and 19 are all in the domain of the function y = 3x - 2.