**Problem Statement:** Find the horizontal intercept of \( f(x) = \frac{1}{3}x + 12 \). Write your answer as an exact value. Do not round. **Solution Explanation:** To find the horizontal intercept, also known as the x-intercept, set the function \( f(x) \) equal to zero and solve for \( x \). \[ 0 = \frac{1}{3}x + 12 \] Subtract 12 from both sides: \[ -12 = \frac{1}{3}x \] Multiply both sides by 3 to solve for \( x \): \[ x = -36 \] Therefore, the horizontal intercept is \( x = -36 \).
**Problem Statement:** Find the horizontal intercept of \( f(x) = \frac{1}{3}x + 12 \). Write your answer as an exact value. Do not round. **Solution Explanation:** To find the horizontal intercept, also known as the x-intercept, set the function \( f(x) \) equal to zero and solve for \( x \). \[ 0 = \frac{1}{3}x + 12 \] Subtract 12 from both sides: \[ -12 = \frac{1}{3}x \] Multiply both sides by 3 to solve for \( x \): \[ x = -36 \] Therefore, the horizontal intercept is \( x = -36 \).
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,...
Related questions
Question
![**Problem Statement:**
Find the horizontal intercept of \( f(x) = \frac{1}{3}x + 12 \).
Write your answer as an exact value. Do not round.
**Solution Explanation:**
To find the horizontal intercept, also known as the x-intercept, set the function \( f(x) \) equal to zero and solve for \( x \).
\[ 0 = \frac{1}{3}x + 12 \]
Subtract 12 from both sides:
\[ -12 = \frac{1}{3}x \]
Multiply both sides by 3 to solve for \( x \):
\[ x = -36 \]
Therefore, the horizontal intercept is \( x = -36 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fcb632a-ab4c-448c-917c-009be532fd8a%2F86a568b8-d88f-4258-bfe9-204bed68380e%2F51t5ixr_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the horizontal intercept of \( f(x) = \frac{1}{3}x + 12 \).
Write your answer as an exact value. Do not round.
**Solution Explanation:**
To find the horizontal intercept, also known as the x-intercept, set the function \( f(x) \) equal to zero and solve for \( x \).
\[ 0 = \frac{1}{3}x + 12 \]
Subtract 12 from both sides:
\[ -12 = \frac{1}{3}x \]
Multiply both sides by 3 to solve for \( x \):
\[ x = -36 \]
Therefore, the horizontal intercept is \( x = -36 \).
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