1.

Let f (x) = {{:( -3 "," , - 3 le x lt 0 ), ( x ^(2) - 3 "," , 0 lt x le 3 ):} and g (x) = |f (x) |+f (|x|), then which of the following is true ?

Answer»

at `x =0 , g (x)` is CONTINUOUS as WELL as DIFFERENTIABLE
`at x = sqrt3, g (x)` is continuous but not differentiable
`at x =2, g (x)` is neither continuous nor differentiable
None of these

ANSWER :A::B


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