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Let f:R→R and g:R→R be defined asf(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 (gof)(x) is continuous for all x∈R, then a+b is equal to

Answer» Let f:RR and g:RR be defined as

f(x)={x+a,x<0|x1|,x0 and g(x)={x+1,x<0(x1)2+b,x0,

where a,b are non-negative real numbers. If (gof)(x) is continuous for all xR, then a+b is equal to


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