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Grade 12Differential Calculus

f(x)=Sgn(x) and g(x)=x(x²-5x+6). Then functiion f{g(x)} is discontinuous at
1. Infinitely many points
2. Exactly one point
3. Exactly three points
4. No point

Shivam

12 Years agoGrade 12

2 Answers

bharat bajaj

12 Years ago

The roots of g(x) is 0,2 and 3.
Hence, f(g(x)) would change sign at these three points. Hence, it is discontinuos at these 3 points.
Answer is 3)
Thanks

Bharat Bajaj
IIT Delhi

askiitians faculty

Arun Kumar

12 Years ago

Hi
$\\f(g(x))=\frac{g(x)}{|g(x)|} \\=>g(x)=x(x-2)(x-3) \\$so it has discontinuity at exactly 3 points 0,2,3$$
Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

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