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Let f: R to R and g , R to R be defined ...

Let `f: R to R and g , R to R` be defined as
`f(x)={{:(x+a",", x lt 0),(|x-1|",",x ge0):} and g= {{:(x+1",", x lt 0),((x-1)^(2)+b"," , x gt0):}`
where a, b are non-negative real numbers. If `(gof)(x)` is continuous for all `x in R` , then `a +b` is equal to......

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