Identify any domain restrictions for the equation:
[tex] \frac{3}{2x-5} + \frac{7}{3x+6} = 12 [/tex]
Answer (2)
D : 2 x − 5 = 0 ∧ 3 x + 6 = 0 D : 2 x = 5 ∧ x + 2 = 0 D : x = 2 5 ∧ x = − 2
The domain restrictions for the equation 2 x − 5 3 + 3 x + 6 7 = 12 are that x cannot equal 2 5 or − 2 . This ensures that the denominators do not equal zero and the equation remains defined. Thus, the restrictions are D : x = 2 5 and x = − 2 .
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