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MATH / For which value of x does the function f(x)=(2x−6)/(x³−7x²−2x+6) cross its horizontal asymptote?

Problem

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problem

For which value of xx does the function f(x)=2x−6x3−7x2−2x+6f(x) = \frac{2x-6}{x^3 - 7x^2 - 2x + 6} cross its horizontal asymptote?
Plain-text mathematical notation (without MathML)
For which value of x does the function f(x)=(2x−6)/(x³−7x²−2x+6) cross its horizontal asymptote?
Original LaTeX notation
For which value of $x$ does the function $f(x) = \frac{2x-6}{x^3 - 7x^2 - 2x + 6}$ cross its horizontal asymptote?

level

Level 2

type

Intermediate Algebra

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Source and history

task_id
5a7801f0-495d-5c4e-8a63-74a23e8e2af4
task_key
intermediate~5falgebra--test--5a7801f0-495d-5c4e-8a63-74a23e8e2af4
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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