SOLUTION: Given c+4/c-4 explain why 4 is excluded from the domain of c, but -4 is not?

Algebra ->  Algebra  -> College  -> Linear Algebra -> SOLUTION: Given c+4/c-4 explain why 4 is excluded from the domain of c, but -4 is not?       Log On


   


Question 2226: Given c+4/c-4 explain why 4 is excluded from the domain of c, but -4 is not?
Found 2 solutions by matthew_sessoms, longjonsilver:
Answer by matthew_sessoms(39) About Me  (Show Source):
You can put this solution on YOUR website!
%28c%2B4%29%2F%28c-4%29


To find the domain of a rational expression, you must solve the denominator equal to 0--also known as the vertical asymptote.

Never, ever, in a 1000 years can a denominator be 0. This is undefined!!! -4 in the denominator makes it -8 (which is possible and can be included in the domain; however, 4 makes the denominator 0. 4 in the denominator is impossible--no such thing! Try to put 8/0 in your calculator. You will get an error message.

Maybe you're looking at the numerator instead.
-4 + 4 = 0
A 0 in the numerator is perfectly A OK. If you were to put this in your calculator you would get 0. 0 divided by anything is 0. This is -4 is included in the domain.
If this doesn't help--PLEASE write back.
Thanks
MS

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
if you had %28c%2B4%29%2F%28c-4%29
then what happens when c is +4?...the deniminator becomes zero and you have a "divide by zero" situation...which is not good, mathematically!
so, the domain states, you can have any value you like but NOT 4.
Make sense?
jon