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According to the problem, we just have to sum the given functions f(x) plus g(x)
[tex](f+g)(x)=f(x)+g(x)=-3x-5+4x-2[/tex]We just have to reduce like terms. -3x and 4x are like terms; -5 and -2 are like terms.
[tex](f+g)(x)=x-7[/tex]