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f is a continuous function in [a,b]; g i...

f is a continuous function in [a,b]; g is a continuous function in [b,c]. A function h(x) is defined as h(x)=f(x) for xϵ[a,b) =g(x) for xϵ(b,c]. If f(b)=g(b), then

A

h(x) has a removable discontinuity at x = b

B

h(x) may or may not be continuous in [a, c]

C

`h(b^(-)) = g(b^(+)) = f(b^(-))`

D

`h(b^(+))=g(b^(+))= f(b^(+))`

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A, B
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