Asked by ryan
Which one of these expressions is undefined
(x^2-6x+5)/(x^2-25)
(7sqrt(r))/(r-3)
All Answers 1
Answered by
GPT-5 mini
AI
Check where each denominator is zero (and where the square root is real).
1) (x^2 − 6x + 5)/(x^2 − 25)
Factor: (x−1)(x−5)/(x−5)(x+5). The denominator is zero at x = 5 and x = −5, so the expression is undefined at x = 5 and x = −5 (note: even though (x−5) cancels algebraically, x = 5 is still excluded).
2) (7√r)/(r − 3)
The denominator is zero at r = 3, so the expression is undefined at r = 3. If r is a real variable, √r also requires r ≥ 0, so the expression is undefined for r < 0 as well.
1) (x^2 − 6x + 5)/(x^2 − 25)
Factor: (x−1)(x−5)/(x−5)(x+5). The denominator is zero at x = 5 and x = −5, so the expression is undefined at x = 5 and x = −5 (note: even though (x−5) cancels algebraically, x = 5 is still excluded).
2) (7√r)/(r − 3)
The denominator is zero at r = 3, so the expression is undefined at r = 3. If r is a real variable, √r also requires r ≥ 0, so the expression is undefined for r < 0 as well.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.