Find the vertical asymptotes (if any) of the gr exist, enter DNE.) x³3x² + 4x g(x) = 5x² - 30x + 40

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I don't understand how it would be just one answer. I set the denom = 0 and got x=4,2. I don't understand what it is saying about use n if necessary

**Finding Vertical Asymptotes of the Function**

**Problem Statement:**
Find the vertical asymptotes (if any) of the graph of the function. (Use 'n' as an arbitrary integer if necessary. If an answer does not exist, enter DNE.)

$$g(x) = \frac{\frac{1}{2}x^3 - 3x^2 + 4x}{5x^2 - 30x + 40}$$
Transcribed Image Text:**Finding Vertical Asymptotes of the Function** **Problem Statement:** Find the vertical asymptotes (if any) of the graph of the function. (Use 'n' as an arbitrary integer if necessary. If an answer does not exist, enter DNE.) $$g(x) = \frac{\frac{1}{2}x^3 - 3x^2 + 4x}{5x^2 - 30x + 40}$$
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