Final answer:
To determine the values of a that make the rational expression undefined, we need to identify any values of a that would result in division by zero. The correct answer is d) a = –3 or a = 3.
Step-by-step explanation:
To determine the values of a that make the rational expression undefined, we need to identify any values of a that would result in division by zero. In this case, if the denominator of the expression becomes zero, the expression is undefined. So, we need to find the values of a that make the denominator equal to zero.
The given options are:
a)
a = 9
b)
a = 3
c)
a = –9 or a = 9
d)
a = –3 or a = 3
We can solve the equation in the denominator of the rational expression to find the values of a that make it equal to zero. Using option a) a = 9 as an example:
(3
a
- 9) = 0
Simplifying this equation, we get:
a = 3
So, the value of a that makes the denominator zero is a = 3. Therefore, the correct answer is d) a = –3 or a = 3.