SOLUTION: Prove algebraically that the sum of two odd functions is an even function.
Algebra.Com
Question 1185281: Prove algebraically that the sum of two odd functions is an even function.
Answer by ikleyn(52907) (Show Source): You can put this solution on YOUR website!
.
Prove algebraically that the sum of two odd functions is an even function.
~~~~~~~~~~~~~~~~~
This statement CAN NOT be proved, since it is WRONG.
///////////
It is really interesting: the sum of two odd integer numbers is an even integer number.
But the sum of two odd function is an odd function, again ( ! )
Thus the situation with functions IS NOT THE SAME as with integer numbers ( ! ) ( ! )
In Math, it is very important to know every subject
from " a " to Z and do not miss the properties of different subjects ( ! ! ! )
RELATED QUESTIONS
Prove that the product of two odd functions is an even... (answered by math_helper)
Prove or disprove algebraically: The sum of an even number and an odd number is... (answered by Alan3354,jim_thompson5910)
I'm not sure if I've put this in the right section but here it goes.
State whether... (answered by stanbon)
The sum of two odd numbers is even.
The sum of two odd numbers is odd.... (answered by shaux)
prove that the sum of two consecutive multiple of 5 is always an odd number and prove... (answered by stanbon)
Use direct proof to prove that the sum of two odd integers say a and b is even. Note... (answered by ikleyn)
Prove that the sum of the cubes if two numbers is odd if and only if one of the numbers... (answered by richard1234)
How do you perform these proofs? i know that for each x in the domain of f,
f(x)= f... (answered by stanbon)
Show that the sum of an odd integer and an even integer is an odd... (answered by josmiceli)