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:
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**
---
This problem involves finding intercepts, vertical asymptotes, and identifying any holes in a given rational function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb61a4a8-39ee-4eb5-a882-a326cb04e173%2Fc2b0df8f-3315-471b-ae42-757ff328f26a%2Fn8kj0b9_processed.png&w=3840&q=75)
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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