Question

Find the domain of the function. g(x) =3x/x^2-81 A. (-∞, ∞) B. (-∞, -9) (-9, 9) (9, ∞) C. (81, ∞) D. (-∞, 0) (0, ∞)

Answer 1

`g(x) (3x)/(x^(2)-81) \\ \\ D: x^(2)-81 \\eq 0 \\ \\ (x-9)(x+9) \\eq 0 \\ \\ x-9 \\eq 0 \ \vee \ x+9 \\eq 0 \\ \\ x \\eq 9 \ \vee \ x \\eq -9 \\ \\ x\in R \ \setminus \lbrace -9,9 \rbrace \\ \\ x\in (-\infty,-9) \ \cup \ (-9, 9) \ \cup \ (9,+\infty)`

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