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

Find the values of a and b sucht that the function f defined by
`fx = {{:((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 = 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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