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find the following given the function. no spaces in answers. $y = \\fra…

$y=3$

Category: calculus Updated: 2026-02-09

Question

find the following given the function. no spaces in answers.
$y = \\frac{3x - 1}{x + 2}$
horizontal asymptote:

Solution Steps

  1. Understand the question

    find the following given the function. no spaces in answers.
    $y = \\frac{3x - 1}{x + 2}$
    horizontal asymptote:

  2. Explanation

    Step1: Identify degrees of numerator/denominator

    The numerator $3x-1$ has degree 1, denominator $x+2$ has degree 1.

    Step2: Apply horizontal asymptote rule

    When degrees are equal, asymptote is ratio of leading coefficients: $\frac{3}{1}=3$.

  3. Final answer

    $y=3$

Answer

Explanation

Step1: Identify degrees of numerator/denominator

The numerator $3x-1$ has degree 1, denominator $x+2$ has degree 1.

Step2: Apply horizontal asymptote rule

When degrees are equal, asymptote is ratio of leading coefficients: $\frac{3}{1}=3$.

Answer

$y=3$

Question Image

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Question Analysis

Subject mathematics
Sub Subject calculus
Education Level high school
Difficulty unspecified
Question Type calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-09T20:24:37

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find the following given the function. no spaces in answers.
$y = \\frac{3x - 1}{x + 2}$
horizontal asymptote:

Related Topics

mathematicscalculuscalculationhigh schoolturns-1

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