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Let f(i)[-(1)/(2),2]to RR and g:[-(1)/(2...

Let `f_(i)[-(1)/(2),2]to RR` and `g:[-(1)/(2),2]to RR` be functions defined by `f(x)=[x^(2)-3]` and `g(x)=|x|f(x)+|4x-7|f(x)` where [y] denotes the greatest integer less then or equal to y for `y in RR`. Then,

A

f is discontinuous exactly at three points in `[-(1)/(2),2]`

B

f is discontinuous exactly at four points in `[-(1)/(2),2]`

C

g is not differentiable exactly at four points in `(-(1)/(2),2)`

D

g is not differentiable exactly at five points in `(-(1)/(2),2)`

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