SOLUTION: Suppose we are given two functions, say r(x) and s(x). a) Is it true that r(x) + s(x) = s(x) + r(x) for all values of x? Why or why not? Give an example. b)Is it true that r(x)

Question 1083924: Suppose we are given two functions, say r(x) and s(x).
a) Is it true that r(x) + s(x) = s(x) + r(x) for all values of x? Why or why not? Give an
example.
b)Is it true that r(x) − s(x) = s(x) − r(x) for all values of x? Why or why not? Give an
example.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!

let r(x) = 2x^2

let s(x) = x^2

r(x) + s(x) = 2x^2 + x^2 = 3x^2

s(x) + r(x) = x^2 +2x^2 = 3x^2

they're the same

r(x) - s(x) = 2x^2 - x^2 = x^2

s(x) - r(x) = x^2 - 2x^2 = -x^2

they're different.

this is no different than the rules of arithmetic that state that addition is commutative but subtraction is not.

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