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MelaniBergmann
MelaniBergmann MelaniBergmann
  • 12-08-2015
  • Mathematics
Answered

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

Verified Answer :

Benjamin16
Benjamin16 Benjamin16
  • 13-08-2015

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

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