1.

Let f(x) be defined on [-2, 2] and be given by f(x)= {:{(-1,-2 le x le0),(x-1,0 lt 2 le 2):} and g(x)=f(|x|)+|f(x)|, Then find g(x)

Answer»

`g(X)={:{(-x,-2 le x le 0),(0,0 lt x le 1),(2(1-x),1 lt x le 2):}`
`g(x)={:{(-x,-2 le x le 0),(0,0 lt x le 1),(2(x-1),1 lt x le 2):}`
`g(x)={:{(x,-2 le x le 0),(0,0 lt x le 1),(2(x-1),1 lt x le 2):}`
`g(x)={:{(x,-2 LEX le 0),(1,0 lt x le 1),(2(x-1), 1 lt x le 2):}`

Answer :B


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