/*! 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. 481 In the following exercises, divi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 481 (page 562)

In the following exercises, divide.

For functions f(x)=x2-15x+45and g(x)=x-9, find

(a)fg(x)

(b)fg(-2)

Short Answer

Expert verified

Part (a) The required function is fg(x)=x2-15x+45x-9.

Part (b) The required value is fg(-2)=-7911.

Step by step solution

01

Part (a) Step 1. Given information.

The given functions are:

f(x)=x2-15x+45g(x)=x-9

02

Part (a) Step 2. Determine the required function.

The required function is:

fg(x)=f(x)g(x)=x2-15x+45x-9

(x-9)is not a factor of x2-15x+45because f(9)鈮�0. So, the function f(x)is not divisible by g(x).

03

Part (a) Step 3. Conclusion.

The required function is fg(x)=x2-15x+45x-9.

04

Part (b) Step 1. Information from part (a)

The function is:

fg(x)=x2-15x+45x-9

05

Part (b) Step 2. Determine the required value.

Substitute x=-2 in the above function.

fg(-2)=(-2)2-15(-2)+45-2-9=4+30+45-11=-7911

06

Part (b) Step 3. Conclusion.

The required value is fg(-2)=-7911.

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

In the following exercises, multiply the binomials. Use any method.

y-6y-2

Write number (a) 340,000 (b) 0.041 in scientific notation

Find the product of the below expression.

p-3p+3

Multiply each pair of conjugates using the product of the conjugates pattern.

8j+48j-4

Convert (a) 1.6脳1010 (b) 8.43脳10-6 to decimal form.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

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.