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(Solved): Type(1.1) (Numerical) Let f:R->R and g:R->R be defined as f(x)={(x+a,x<0),(|x-1|,x>=0):} ...



Type(1.1) (Numerical) Let

f:R->R

and

g:R->R

be defined as

f(x)={(x+a,x<0),(|x-1|,x>=0):}

and

g(x)={(x+1,x<0),((x-1)^(2)+b,x>=0):}

, where

a,b

are non-negative real numbers. If

g@f(x)

is continuous for all

xinR

, then

a+b

is equal to



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