asymptote(s). Simplify the function by factoring the denominator.x + 8x + 8f(x) =x² – 64(x + 8)Simplify by canceling common fåctors. Remember that although factors can be çanceled, fis still undefinedwhere those canceled factors made the denominator zero. Indicate that in the provided blank.f(x) :Since f(x), after simplifying to remove the common factors, is a rational function and can be writtenN(x)f(x) =D(x)'the graph of f has vertical asymptotes at the zeros of D(x). Given this, what is the equation ofthe vertical asymptote? (If an answer does not exist, enter DNE.)(Although the domain excludes two values of x, there is only one vertical asymptote. This is because thesecond linear factor of the denominator was a common factor with the numerator of f(x). The graph of f has ahole at the zero of the common factor.)SubmitSkip (you cannot come back)

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Description: asymptote(s). Simplify the function by factoring the denominator.x + 8x + 8f(x) =x² – 64(x + 8)Simplify by canceling common fåctors. Remember that although factors can be çanceled, fis still undefinedwhere those canceled factors made the denominator

Given function, f(x)=x+8x2-64 We need to find the equation of the vertical asymptote.

Math

Advanced Math

Thptote(s). Simplify the function by factoring the denominator. X + 8 x + 8 f(x) x2 – 64 (x + 8) Simplify by canceling common fåctors. Remember that although factors can be çanceled, f is still undefined where those canceled factors made the denòminator zero. Indicate that in the provided blank. f(x) = Since f(x), after simplifying to remove the common factors, is a rational function and can be written f(x) = the graph of f has vertical asymptotes at the zeros of D(x). Given this, what is the equation of D(x)' the vertical asymptote? (If an answer does not exist, enter DNE.) (Although the domain excludes two values of x, there is only one vertical asymptote. This is because the second linear factor of the denominator was a common factor with the numerator of f(x). The graph of f has a hole at the zero of the common factor.)

Thptote(s). Simplify the function by factoring the denominator. X + 8 x + 8 f(x) x2 – 64 (x + 8) Simplify by canceling common fåctors. Remember that although factors can be çanceled, f is still undefined where those canceled factors made the denòminator zero. Indicate that in the provided blank. f(x) = Since f(x), after simplifying to remove the common factors, is a rational function and can be written f(x) = the graph of f has vertical asymptotes at the zeros of D(x). Given this, what is the equation of D(x)' the vertical asymptote? (If an answer does not exist, enter DNE.) (Although the domain excludes two values of x, there is only one vertical asymptote. This is because the second linear factor of the denominator was a common factor with the numerator of f(x). The graph of f has a hole at the zero of the common factor.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

asymptote(s). Simplify the function by factoring the denominator.
x + 8
x + 8
f(x) =
x² – 64
(x + 8)
Simplify by canceling common fåctors. Remember that although factors can be çanceled, fis still undefined
where those canceled factors made the denominator zero. Indicate that in the provided blank.
f(x) :
Since f(x), after simplifying to remove the common factors, is a rational function and can be written
N(x)
f(x) =
D(x)'
the graph of f has vertical asymptotes at the zeros of D(x). Given this, what is the equation of
the vertical asymptote? (If an answer does not exist, enter DNE.)
(Although the domain excludes two values of x, there is only one vertical asymptote. This is because the
second linear factor of the denominator was a common factor with the numerator of f(x). The graph of f has a
hole at the zero of the common factor.)
Submit
Skip (you cannot come back)

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