5a3 19a? + 3a + 27 Given g(a) : answer the following questions: 29a2 + 21a + 27' Round all answers to 3 decimal places as needed. If the answer doesn't exist, type DNE. 10а^ — 13а3 a) The a-intercept(s) are: b) The vertical asymptotes of g are at a Write the answer(s) as just numbers separated by commas. c) g has a hole at the ordered pair: Write each hole as an ordered pair. Do not do any rounding until the final answer. d) The g(a)-intercept is:

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Below is a transcription of the given mathematical problem and questions. It is formatted for clarity and understanding on an educational website:

---

**Problem Statement:**

Given \( g(a) = \frac{5a^3 - 19a^2 + 3a + 27}{10a^4 - 13a^3 - 29a^2 + 21a + 27} \), answer the following questions:

*Round all answers to 3 decimal places as needed. If the answer doesn't exist, type DNE.*

**Questions:**

a) The \( a \)-intercept(s) are:  
\[ \text{[ ]} \]  

b) The vertical asymptotes of \( g \) are at \( a = \)  
\[ \text{[ ]} \]  
*Write the answer(s) as just numbers separated by commas.*

c) \( g \) has a hole at the ordered pair:  
\[ \text{[ ]} \]  
*Write each hole as an ordered pair. Do not do any rounding until the final answer.*

d) The \( g(a) \)-intercept is:  
\[ \text{[ ]} \]

--- 

*Buttons:*

- **Submit Question**  
- **Jump to Answer**  

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This problem involves finding intercepts, vertical asymptotes, and identifying any holes in a given rational function.
Transcribed Image Text:Below is a transcription of the given mathematical problem and questions. It is formatted for clarity and understanding on an educational website: --- **Problem Statement:** Given \( g(a) = \frac{5a^3 - 19a^2 + 3a + 27}{10a^4 - 13a^3 - 29a^2 + 21a + 27} \), answer the following questions: *Round all answers to 3 decimal places as needed. If the answer doesn't exist, type DNE.* **Questions:** a) The \( a \)-intercept(s) are: \[ \text{[ ]} \] b) The vertical asymptotes of \( g \) are at \( a = \) \[ \text{[ ]} \] *Write the answer(s) as just numbers separated by commas.* c) \( g \) has a hole at the ordered pair: \[ \text{[ ]} \] *Write each hole as an ordered pair. Do not do any rounding until the final answer.* d) The \( g(a) \)-intercept is: \[ \text{[ ]} \] --- *Buttons:* - **Submit Question** - **Jump to Answer** --- This problem involves finding intercepts, vertical asymptotes, and identifying any holes in a given rational function.
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