Final answer:
The domain of m(x) = (-9x-2)/4 is (-∞, ∞).
Step-by-step explanation:
The domain of the function m(x) = (-9x-2)/4 can be found by determining the set of all possible input values, or x-values, that the function can accept. Since the denominator cannot be zero, we need to exclude any x-values that would make the denominator equal to zero. In this case, the denominator is a constant 4, so it can never be zero. Therefore, the domain of m(x) is all real numbers. Using interval notation, we can represent the domain as (-∞, ∞). This notation includes all values from negative infinity to positive infinity.