Sketch the graph of $y=\frac{2-x}{3{{x}^{2}}+5x-8}$. Give the equations of the asymptotes and the

Question

Sketch the graph of $y=\frac{2-x}{3{{x}^{2}}+5x-8}$. Give the equations of the asymptotes and the coordinates of the point(s) where the curve crosses either axis.[4] Solve the inequality $\frac{2-x}{3{{x}^{2}}+5x-8}>0$.[1] Hence solve the inequality $\frac{x-2}{3{{x}^{2}}+5x-8}>0$.[1]

Accepted Answer

(i) ${x < -\frac{8}{3}	ext{ or }1 < x < 2}$

N2019 P2 Q2

N2019 P2 Q2

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