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Consider f(x)=|1-x|\ \ 1\ lt=xlt=2\ a...

Consider `f(x)=|1-x|\ \ 1\ lt=xlt=2\ a n d\ \ ` `g(x)=f(x)+bsinpi/2\ x ,` `1\ lt=xlt=2` Then which of the following is correct? Rolles theorem is applicable to both `f,\ g\ a n d\ b\ =\ 3//2` LMVT is not applicable of f and Rolles theorem if applicable to `g` with `b=1/2` LMVT is applicable to f and Rolles theorem is applicable to `g` with `b\ =\ 1` Rolles theorem is not applicable to both `f,g` for any real `b` .

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