Originally Posted by

**oceanmd** Jhevon,

Thank you for taking time and explaining all of this. I have solved the problem before I posted a question, but my answer does not coincide with the answer in the textbook.

f(x) = 3x /(x + 2) Domain: All real numbers except x = -2 ; Range: All real numbers except y = 3 ( my reasoning: y = 3 is a horizontal asymptote and the function does not cross the horizontal asymptote, because when I tried to solve 3x /(x + 2) = 3 , I got 3x = 3x + 6, which does not make sense

f(x) = -2x / (x-3) Domain: All real numbers except x = 3 ; Range: All real numbers except y = -2 as y = -2 is a horizontal asymptote of f(x) = -2x / (x-3) and does not cross the function.

Is this correct? The textbook has a different answer for the range, I do not have it with me right now, I will post it later, but will you please check whether my answers are correct.

Thank you