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Class 12 Continuity And Differentiability · Mcq Single Correct1 Markscontinuity_and_domain

Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #4

How many real inputs are excluded from the original formula f(x)=(x−1)/[x(x²−1)]?

✅ Step-by-Step Solution

Final Answer: Option (C): Exactly three
  1. The original denominator is x(x−1)(x+1), which vanishes at −1,0,1. Cancelling x−1 does not restore the originally excluded input 1.

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