   Chapter 7.1, Problem 16ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
3 views

# Let F and G be functions from the set of all real numbers to itself. Define new functions F − G : R → R and G - F : R → R as follows: For every x ∈ R , ( F − G ) ( x ) = F ( x ) − G ( x ) ( G − F ) ( x ) = G ( x ) − F ( x ) Does F − G = G − F ? Explain.

To determine

Does FG=GF ? Explain.

Explanation

Given information:

Let F and G be function from the set of all real numbers to itself. Define new function FG:RR and GF:RR as follows. For all xR.

(FG)(x)=F(x)G(x)(GF)(x)=G(x)F(x)

Concept used:

(FG)(x)=F(x)G(x)

Calculation:

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