Advanced MathEasy–MediumValue that makes a rational expression undefined
Advanced Math practice question
For what positive value of x is the expression (x − 4)/(x² − 16) undefined?
Answer: 4
The expression is undefined where the denominator is 0: x² − 16 = 0 → x = ±4. The positive value is 4.
Common wrong answers
- If you answered 0
- At x = 0 the expression equals (−4)/(−16), which is defined.
- If you answered 16
- 16 is the constant in the denominator, not a value of x.
- If you answered -4
- −4 also makes the denominator 0, but the question asks for the positive value.
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
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