I am correcting my tests for a little review for my final on Thursday and got hung up on this question I got wrong when I took it.
Here goes nothing:
Algebraically determine whether the following function is odd, even or neither.
F(x) = (sin(x)/(x^2)+5) - tan(x)
f(-x) = (sin(-x)/(-x^2)+5) - tan(-x)
f(-x) = (-sin(x)/(x^2)+5) + tan(x)
f(-x) does not equal f(x) so it cant be equal, now to check if its odd.
if -(f(x)) = f(-x), it will be odd.
-(f(x)) = -((-sin(x)/(x^2)+5) +tan(x))
-(f(x)) = (sin(x)/(-x^2)-5) - tan(x))
-(f(x)) = (sin(x)/(x^2)-5) - tan(x)
Thus -(f(x)) does NOT equal f(-x).
So its neither.
Or am I missing something.