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f(x)=Sgn(x) and g(x)=x(x 2 -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

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

Grade:12

2 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
7 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 IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hi

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

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