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Asymptotes of

0 votes

g(x)=(1/ x+7)+3?

asked Jul 23, 2014 in PRECALCULUS by anonymous

1 Answer

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The rational function image

Change g (x ) to y .

image

Simplify the function.

image

image

image

  • Find asymptotes of rational function.

Vertical asymptotes are found  by solving denominator = 0

image

image

Vertical asymptote x  = -7

To find horizontal asymptote.

Degree of the numarator = 1 and the degree of denominator = 1.

If the degree of the numerator is equal to the degree of the denominator, then horizontal asymptote is

y = [leading coefficient of numarator]/[leading coefficient of numarator].

In this case y = 3/1

y = 3 is the horizontal asymptote.

answered Jul 23, 2014 by david Expert

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