find all excluded values for the expression

Question

find all excluded values for the expression. that is, find all values of w for which the expression is undefined.

 

(5w)/(3w+6)

Answer 1

remember that a denominator can never be zero, so if we find what turns the denominator into zero, we have found the excluded values:

 

3w + 6 ≠ 0 (subtract 6 from both sides)

3w ≠ -6   (divide both sides by 3)

w ≠ -2

 

the excluded value is -2