Asymptotes of a function y=1/(x+4) Example-1

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Home > Algebra calculators > Asymptotes of a function example

11. Asymptotes of a function example ( Enter your problem )

( Enter your problem )

Other related methods

10. Parity of a function
(Previous method)

$y=(x^2+2x-3)/(x^2-5x-6)$ Example-2
(Next example)

1. $y=1/(x+4)$ Example-1

1. $y=1/(x+4)$ , find Asymptotes of a function

Solution:
Asymptotes :
Now, find domain of

$y=1/(x+4)$

$x+4=0$

$=>x+4=0$

$=>x=0-4$

$=>x=-4$

Domain :

$x!=-4$

Vertical asymptote :

$x=-4$

The highest power in the numerator is 0
The highest power in the denominator is 1
Since highest power denominator is greater than highest power on numerator, then the horizontal asymptote will be x-axis.
Horizontal asymptote : y = 0 (x-axis)
Slant(Oblique) asymptote : none

This material is intended as a summary. Use your textbook for detail explanation.
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