Final answer:
The function h(x) = x - 4 is defined for all real numbers which make up its domain. Therefore, the values -4, 0, and 4 all fall within the domain of the function.
Step-by-step explanation:
In mathematics, the domain is a set of all possible values that could be used as input into a function. The function in this case is h(x)=x-4. This content loaded function has a domain that includes all real numbers. In simpler terms, we can put any number for x into the equation h(x) = x - 4 and the equation will still work. So, the given options -4, 0, and 4 indeed fall within the domain of h. There are no restrictions with this function concerning the domain, so the x values -4, 0, and 4 are all a part of the domain of h(x)=x-4. To determine whether a given value of x is in the domain of the function h(x) = x - 4, we need to check if the function is defined for that value of x.
The domain of a function typically includes all real numbers unless there are specific restrictions mentioned, such as square roots of negative numbers or division by zero. In this case, h(x) = x - 4 is a linear function, and there are no restrictions mentioned. Therefore, it is defined for all real numbers.
So, in this case, all the options -4, 0, and 4 are in the domain of h(x) = x - 4, as well as any other real number.
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