Question

Determine the values for which the rational expression -6a - 10 / -5a - 8 is undefined. If there's more than one value, list them.

a) a = -2
b) a = -1.6
c) a = 1.6
d) a = 2

Answer 1

The rational expression -6a - 10 / -5a - 8 is undefined when the denominator is zero, which occurs at a = 1.6.

Step-by-step explanation:

To determine the values for which the rational expression -6a - 10 / -5a - 8 is undefined, we need to identify when the denominator equals zero since division by zero is undefined. Setting the denominator equal to zero, we have -5a - 8 = 0. Solving for a gives a = -8 / -5 or a = 1.6. Therefore, the rational expression is undefined for a = 1.6.