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प्रश्न
Find the asymptotes of the following curves:
f(x) = `(x^2 + 6x - 4)/(3x - 6)`
बेरीज
उत्तर
The function becomes undefined when x = 2.
∴ x = 2 is the vertical asymptote.
No Horizontal asymptote exist for the given curve.
Oblique asymptote can be obtained by polynomial long division method.
∴ y = `x/3 + 8/3` or 3y = x + 8 is the slant asymptote.
`x/3 + 8/3`
`3x - 6")"overline(x^2 + 6x - 4)`
`x^2 - 2x`
(–) (+)
`8x - 4`
`8x - 16`
(–) (+)
12
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Symmetry and Asymptotes
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