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462.    x = –4, y = x – 6

There are no common factors in the numerator and denominator.

To solve for vertical asymptotes, set the denominator equal to 0.

x + 4 = 0 gives you x = –4, the equation of the vertical asymptote.

To solve for the oblique asymptote, divide the numerator by the denominator.

The quotient (without the remainder) gives you the equation of the oblique asymptote: y = x – 6.

463.    x = 5, y = x + 9

There are no common factors in the numerator and denominator.

To solve for vertical asymptotes, set the denominator equal to 0.

x – 5 = 0 gives you x = 5, the equation of the vertical asymptote.

To solve for the oblique asymptote, divide the numerator by the denominator.

The quotient (without the remainder) gives you the equation of the oblique asymptote: y = x + 9.

464.    x = 2, x = –2, y = x – 3

There are no common factors in the numerator and denominator.

To solve for vertical asymptotes, set the denominator equal to 0.

x2 – 4 = (x – 2)(x + 2) = 0 gives you x = 2 and x = –2, the equations of the vertical asymptotes.

To solve for the oblique asymptote, divide the numerator by the denominator.

The quotient (without the remainder) gives you the equation of the oblique ...

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