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
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,...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0920a61c-59eb-44e5-8933-ee436fabade9%2F66ce5285-ee00-4f45-86ca-45f27548cbd7%2Fr53lznc_processed.png&w=3840&q=75)
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.
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