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? b) Is it true that r(x) ��

Algebra ->  Functions -> 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? b) Is it true that r(x) ��       Log On


   



Question 619701: 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?
b) Is it true that r(x) �� s(x) = s(x) �� r(x) for all values of x? Why or why not?
c) Is it true that r(0) = 0? Why or why not?
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Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
a) Yes, as long as r and s are defined for a certain x value

b) If �� represents an arbitrary operation, not necessary. We don't know if that operation is commutative.

c) Not necessarily. r(0) could equal 1, for example.