describe any necessary restrictions to the domain and range of f(x)= -4x + 120

Question

mathstudent55 · Answer

Think of a number, any real number, that will be used for x, the domain.
You then multiply it by -4. Is there any real number you would have a problem multiplying by -4? Answer: No.
Then after multiplying by -4, you add 120 to it. Is there any number that there is a problem adding 120 to it? Answer: No.
Therefore, there is no restriction on x, the domain.

mathstudent55 · Answer

Since there is no restriction on the domain, the domain is all real numbers.

Now for the range:
Since by picking every real number (for x, the domain) and multiplying by -4 and adding 120 you can generate every real number, then the range, y, is also all real numbers, and there is no restriction wirh the range either.

anonymous · Answer

Thank u soooooooooooo much

mathstudent55 · Answer

You are very welcome.

mathstudent55 · Answer

Usually, there are restrictions to the domain when you see a denominator with x in it, or a square root with x in it. There are more things that cause restrictions, but these two are the ones you see most.