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Let f and g be two functions defined by ...

Let f and g be two functions defined by `f(x)={(x+1, x lt0),(abs(x-1),x ge 0):} and g(x)={(x+1, x lt0),(1,x ge 0):}`
Then `(gof) (x)` is

A

continuous everywhere but not differentiable exactly at one point

B

not continuous at x =-1

C

differentiable everywhere

D

continuous everywhere but not differentiable at x=1

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