Let the function f: R to R be defined by...

Let the function `f: R to R` be defined by`f(x)=x^(3)-x^(2)+(x-1) sin x and "let" g: R to R` be an arbitrary function Let `f g: R to R` be the function defined by `(fg)(x)=f(x)g(x)`. Then which of the folloiwng statements is/are TRUE ?

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