Question
Identify the asymptotes. Give your answers in exact form. Do not round. \[ q(x)=\frac{-3 x^{2}+4 x+7}{x+2} \] Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable Part 1 of 2 Equation(s) of the vertical asymptote(s):
Ask by Kelly Griffiths. in the United States
Mar 18,2025
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Answer
The vertical asymptote is \( x = -2 \).
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Bonus Knowledge
To find the vertical asymptote of the rational function \( q(x)=\frac{-3 x^{2}+4 x+7}{x+2} \), we look for values of \( x \) that make the denominator equal to zero. Setting \( x + 2 = 0 \) gives us: \[ x = -2 \] Thus, the equation of the vertical asymptote is: \[ x = -2 \]