Suppose that the functions s and t are defined for all real numbers x as follows. s (x)=x+3 t(x)=4x-6 Write the expressions for (t+s)(x) and (t-s)(x) and evaluate (t's)(1). (++)(+) = [0 %3D (1-)(*) = D %3D (rs)(1) = 1 %3D
Suppose that the functions s and t are defined for all real numbers x as follows. s (x)=x+3 t(x)=4x-6 Write the expressions for (t+s)(x) and (t-s)(x) and evaluate (t's)(1). (++)(+) = [0 %3D (1-)(*) = D %3D (rs)(1) = 1 %3D
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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![**Title: Sum, Difference, and Product of Two Functions**
**Overview:**
Suppose that the functions \( s \) and \( t \) are defined for all real numbers \( x \) as follows:
\[ s(x) = x + 3 \]
\[ t(x) = 4x - 6 \]
**Task:**
Write the expressions for \( (t+s)(x) \) and \( (t-s)(x) \) and evaluate \( (t \cdot s)(1) \).
**Expressions:**
1. \( (t+s)(x) = \) [Enter your answer here]
2. \( (t-s)(x) = \) [Enter your answer here]
3. \( (t \cdot s)(1) = \) [Enter your answer here]
**Note:**
To solve these problems, use the following operations:
- Addition: \( (t+s)(x) = t(x) + s(x) \)
- Subtraction: \( (t-s)(x) = t(x) - s(x) \)
- Multiplication: \( (t \cdot s)(1) = t(1) \cdot s(1) \)
Once you have entered your answers, click "Check" to see if they are correct.
**Additional Features:**
- The interface includes options for further Explanation and a Check button to validate your inputs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2afdb793-7012-417a-ba1a-2c4d4df308a5%2F4344c5fb-ed78-48db-94ec-e372ec6d7da8%2Fdekbmpb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Sum, Difference, and Product of Two Functions**
**Overview:**
Suppose that the functions \( s \) and \( t \) are defined for all real numbers \( x \) as follows:
\[ s(x) = x + 3 \]
\[ t(x) = 4x - 6 \]
**Task:**
Write the expressions for \( (t+s)(x) \) and \( (t-s)(x) \) and evaluate \( (t \cdot s)(1) \).
**Expressions:**
1. \( (t+s)(x) = \) [Enter your answer here]
2. \( (t-s)(x) = \) [Enter your answer here]
3. \( (t \cdot s)(1) = \) [Enter your answer here]
**Note:**
To solve these problems, use the following operations:
- Addition: \( (t+s)(x) = t(x) + s(x) \)
- Subtraction: \( (t-s)(x) = t(x) - s(x) \)
- Multiplication: \( (t \cdot s)(1) = t(1) \cdot s(1) \)
Once you have entered your answers, click "Check" to see if they are correct.
**Additional Features:**
- The interface includes options for further Explanation and a Check button to validate your inputs.
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