Tip
Rational expressions and equations contain algebraic expressions in the numerator, denominator, or in both the numerator and denominator.
Sample Problem
What are all the values of y for which the expression below is undefined?
Answer Options
(A) -3/2 Only
(B) -2 Only
(C) 0 Only
(D) 0 and -3/2
(E) 0 and 2
View Correct Answer
(D) 0 and -3/2
Values of y that yield a fraction with a denominator of 0 will be undefined. So first set the expression 6y^2 + 9y equal to zero. Factoring the left side of the equation gives 3y(2y + 3) = 0. Solving each of the factors for 0 gives y = 0, y=-3/2. So the expression will be undefined when y = 0 and y = -3/2.
