> If f(x) = 2x + 1 and g(x) = 3x - 4, find (fog)(x) O 6x - 1 5-7 6x - 7 6x17 Question 18 18. f(x) = 4x - 7 is a one to one function. Find its inverse. Of-¹ (z) = 2+7 = f-1 (T) = 2r-7 4 27-7

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
**Mathematics Functions and Inverses: Practice Questions**

**Question 17:**
If \( f(x) = 2x + 1 \) and \( g(x) = 3x - 4 \), find \( (f \circ g)(x) \).

- ○ \( 6x - 1 \)
- ○ \( 5x - 7 \)
- ○ \( 6x - 7 \)
- ○ \( 6x - 17 \)

**Question 18:**
Given \( f(x) = 4x - 7 \), which is a one-to-one function, find its inverse.

- ○ \( f^{-1}(x) = \frac{x + 7}{4} \)
- ○ \( f^{-1}(x) = \frac{2x - 7}{4} \)
- ○ \( f^{-1}(x) = \frac{x - 7}{3} \)
- ○ \( f^{-1}(x) = \frac{2x - 7}{3} \)
Transcribed Image Text:**Mathematics Functions and Inverses: Practice Questions** **Question 17:** If \( f(x) = 2x + 1 \) and \( g(x) = 3x - 4 \), find \( (f \circ g)(x) \). - ○ \( 6x - 1 \) - ○ \( 5x - 7 \) - ○ \( 6x - 7 \) - ○ \( 6x - 17 \) **Question 18:** Given \( f(x) = 4x - 7 \), which is a one-to-one function, find its inverse. - ○ \( f^{-1}(x) = \frac{x + 7}{4} \) - ○ \( f^{-1}(x) = \frac{2x - 7}{4} \) - ○ \( f^{-1}(x) = \frac{x - 7}{3} \) - ○ \( f^{-1}(x) = \frac{2x - 7}{3} \)
Expert Solution
steps

Step by step

Solved in 3 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