Find the values of a and b sucht that ...

Find the values of a and b sucht that the function f defined by
`f(x)= {{:((x-4)/(|x-4|)+a, if x lt 4),(a+b,if x =4),((x-4)/(|x-4|)+b, if x gt 4):}` is a continous function at `x = 4` .

A

(a) `a = 0, b = 0`

B

(b) `a = 1, b = 1`

C

(c) `a = -1, b = 1`

D

(d) `a = 1, b = -1`

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The correct Answer is:

D

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