Let f(x) = 3x – 1 and g(x) = x² + 4x – 2. Evaluate the following. - a. f(3) = 8 b. ƒ( – 1) = |-4 с. 9( — 3) 3D | -5 %3D d. g(2) = е. f(a - 1) 3 Preview

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,...
icon
Related questions
Question

D, E, and F

**Title: Evaluating Functions**

**Introduction:**
Given the functions \( f(x) = 3x - 1 \) and \( g(x) = x^2 + 4x - 2 \), evaluate the following expressions.

**Exercises:**

a. \( f(3) = \)  
\[ \boxed{8} \]

b. \( f(-1) = \)  
\[ \boxed{-4} \]

c. \( g(-3) = \)  
\[ \boxed{-5} \]

d. \( g(2) = \)  
\[ \boxed{} \]

e. \( f(a - 1) = \)  
\[ \boxed{} \]  
(Click 'Preview' to check your answer.)

f. \( g(a - 1) = \)  
\[ \boxed{} \]  
(Click 'Preview' to check your answer.)

**Note:**
- Use the given function definitions to substitute the value of \( x \) and simplify.
- For expressions involving \( a \), substitute \( (a-1) \) into the functions and simplify.

**Purpose:**
This exercise aims to enhance understanding of function evaluation by substituting specific values and simplifying expressions accordingly.
Transcribed Image Text:**Title: Evaluating Functions** **Introduction:** Given the functions \( f(x) = 3x - 1 \) and \( g(x) = x^2 + 4x - 2 \), evaluate the following expressions. **Exercises:** a. \( f(3) = \) \[ \boxed{8} \] b. \( f(-1) = \) \[ \boxed{-4} \] c. \( g(-3) = \) \[ \boxed{-5} \] d. \( g(2) = \) \[ \boxed{} \] e. \( f(a - 1) = \) \[ \boxed{} \] (Click 'Preview' to check your answer.) f. \( g(a - 1) = \) \[ \boxed{} \] (Click 'Preview' to check your answer.) **Note:** - Use the given function definitions to substitute the value of \( x \) and simplify. - For expressions involving \( a \), substitute \( (a-1) \) into the functions and simplify. **Purpose:** This exercise aims to enhance understanding of function evaluation by substituting specific values and simplifying expressions accordingly.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education