Question
Asked Oct 24, 2019
28 views
Consider the following.
f(x) = 
x − 5
x2 − 25
 
 
Find any vertical and horizontal asymptotes. (Enter your answers as a comma-separated list of equations. If there are no asymptotes, enter DNE.)
 
 
 
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Expert Answer

Step 1

Step 2

Simplify the given function as follows.

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Image Transcriptionclose

x-5 f (x) (x+5)(x-5) 1 x 5

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Step 3

For rational functions the vertical asymptotes are the undefined points, that is equate the denominator of the simplified function to zero.

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Tagged in

Math

Calculus

Functions