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Let f(x)={(x-4)/(|x-4|)+a ,x<4a+b ,(x-4)...

Let `f(x)={(x-4)/(|x-4|)+a ,x<4a+b ,(x-4)/(|x-4|)+b ,x >4` Then `f(x)` is continous at `x=4` when `a=0,b=0` b. `a=1,b=1` c. `a=-1,b=1` d. `a=-1,b=-1`

A

a=0,b=0

B

a=1,b=1

C

a=-1,b=1

D

a=1,b=-1

Text Solution

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The correct Answer is:
D
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