Draw the curve y-3x-1x-2 and find the asymptotes-

The function is not defined at x= 2 #160;and zero of the function is at x=13 The graph of the function are shown in image #160; ...

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f(x) Transforms to f(x+a) or f(x-a)

Draw the curv...

Question

Draw the curve $y = \frac{3 x - 1}{x + 2}$ and find the asymptotes.

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Solution

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y = \frac{3 x + 3}{x - 3}

y = \frac{x^{2} - 3 x + 2}{x^{2} + 3 x + 2}

x^{2} y^{2} = a^{2} (y^{2} - x^{2})

The asymptotes of the curve $y = \frac{x^{2} + 2 x - 1}{x}$ are

y = \frac{x^{2} - 3 x}{x - 4}

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