Question

Find all excluded values for the expression.
That is, find all values of for which the expression is undefined.

5x / 4x+12

If there is more than one value, separate them with commas.

Answer 1

Mind explaining in your own words what "excluded" means to you? "excluded values?"

Does it appear to you that \[\frac{ 5x }{ 4x+12 }\] has any "excluded values?" If so, what is that value? Why is it "excluded?"

Hint: division by zero is NOT defined.

Answer 2

You can think of it like this:
Dividing by 0 is not defined.
4x + 12 = 0
If you solve for x, you know that it may not be a value because the sum of the terms will equal 0.