   Chapter 1.2, Problem 8TFE

Chapter
Section
Textbook Problem
1 views

# Label each of the following statements as either true or false.Let g : A → A and f → A → A . Then ( f ∘ g ) ( a ) = ( g ∘ f ) ( a ) for every a in A .

To determine

Whether the statement, ‘Let g:AA and fAA. Then (fg)(a)=(gf)(a) for every a in A’ is true or false.

Explanation

Let the two functions of x are f(x) and g(x) such that,

f(x)=x2 and g(x)=x+1

Then,

(fg)(x)=f(g(x))=f(x+1)=(x+1)2=x2+2x+1 ……(1)

And,

(gf)(x)=g(

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 516, evaluate the given quantity. log5125

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Given: m13=70 Find: m3

Elementary Geometry For College Students, 7e

#### In Exercises 7-10, solve the equation. 3x210x+8=0

Calculus: An Applied Approach (MindTap Course List) 