SOLUTION: suppose we are given two functions, say r(x) and s(x). a) Is it true the r(x) + s(x) = s(x)+r(x)? why or why not b) is it true that r(x)-s(x)=s(x)-r(x)?why or why not c) is it t

Question 715846: suppose we are given two functions, say r(x) and s(x).
a) Is it true the r(x) + s(x) = s(x)+r(x)? why or why not
b) is it true that r(x)-s(x)=s(x)-r(x)?why or why not
c) is it true that r(0)=0? why or why not
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Presume real-valued functions and presume

and

a) Yes. The sum of two functions at a value is the sum of the two values of the functions. The set of real numbers is commutative under addition.

b) No. The difference of two functions at a value is the difference of the two values of the function. But the set of real numbers is NOT commutative under addition. Counterexample:

c) No. r(0) is the value of the function at zero. If

, then

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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