Question: A linear operator satisfies the condition A (f (x) + g(x)) = A f (x) + A g(x). Are A or B linear operators if

A linear operator satisfies the condition  (f (x) + g(x)) =  f (x) +  g(x). Are  or B̂ linear operators if  f (x) = (f (x))2 and B̂ f (x) = df (x)/dx?

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