Answer:
Real numbers or (-∞, ∞)
Step-by-step explanation:
The domain of a function is the set of all the possible values that the variable x can take. In this case, we have the equation:
y = 9x - 4
So, the value of x can be any real number and the equation will have a solution. It means that the domain of the function is the set of all real numbers or the interval (-∞, ∞)
The real numbers are numbers like 1, 2, 8.5, or -8.34. So, for example, if x is equal to 8.5, we can find the value of y as follows:
y = 9(8.5) - 4
y = 76.5 - 4
y = 72.5
So, it is possible to give any value to the x variable to find a value for the y variable.
Therefore, the answer is:
the set of all real numbers or the interval (-∞, ∞)