/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 3 In the following exercises, find... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 3 (page 1002)

In the following exercises, find

a.f鈭�g(x)

b.g鈭�f(x)

c.(f.g)(x)

Short Answer

Expert verified

The composition is24x+1,24x-19,24x2-14x-5respectievly

Step by step solution

01

Given information

Given the function

f(x)=6x-5g(x)=4x+1

02

Use the composition and calculate

Using the composition, we get

f鈭�g(x)=f[g(x)]f鈭�g(x)=f(4x+1)f鈭�g(x)=6(4x+1)-5f鈭�g(x)=24x+6-5f鈭�g(x)=24x+1

03

Using the composition and calculate

Using the composition, we get

g鈭�f(x)=g[f(x)]g鈭�f(x)=g(6x-5)g鈭�f(x)=4(6x-5)+1g鈭�f(x)=24x-20+1g鈭�f(x)=24x-19

04

Use the composition and calculate

Using composition, we get

(f路g)(x)=f(x)路g(x)(f路g)(x)=(6x-5)路(4x+1)(f.g)(x)=24x2+6x-20x-5(f.g)(x)=24x2-14x-5

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

On the same coordinate system, graph:

f(x)=2x

g(x)=2x-1

In the following exercises, determine whether or not the given functions are inverses.
f(x)=x+8andg(x)=x-8

Convert each logarithmic equation to exponential form:

6=log264.

Graph: g(x)=5x

Convert from exponential to logarithmic form:

17x=175.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.