A student provided the following solution for an equation. What mistake did the student make?
1 answer:
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Answer: undefined in both cases.
Explanation:
1) Expression to evaluate:
2) You are asked to evaluate that expression for two different cases, x = 0 and x = 3.
3) First case: x = 0
The expression cannot be evaluated at x = 0, because the denominators (both denominators) equal 0, and the division by 0 is not defined.
So, the answer is undefined.
4) Second case, x = 3
When you replace x = 3 you get:
Again, this result in a division by 0, so you conclude that it is undefined too.
Explanation:
1) Expression to evaluate:
2) You are asked to evaluate that expression for two different cases, x = 0 and x = 3.
3) First case: x = 0
The expression cannot be evaluated at x = 0, because the denominators (both denominators) equal 0, and the division by 0 is not defined.
So, the answer is undefined.
4) Second case, x = 3
When you replace x = 3 you get:
Again, this result in a division by 0, so you conclude that it is undefined too.