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

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

Hi

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