SOLUTION: f(x)=1/x^4+3x^3 even or odd i need answer urgently pls thanks

Question 134707: f(x)=1/x^4+3x^3 even or odd
i need answer urgently pls

thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)=[1/(x^4+3x^3)] even or odd?
Check:
-f(-x) = -1/[(-x)^4 + 3(-x)^3]
= -1/[x^4 - 3x^3
= 1/[-x^4+3x^3]
So f(x) does not equal -f(-x); so f is not odd
-----------------------------
Is it even?
Check:
f(-x) = [1/[(-x^)^4 + 3(-x)^3]]
=[1/[x^4 - 3x^3]]
So f(x) does not equal f(-x); so f is not even
============================
Cheers,
Stan H.

RELATED QUESTIONS
f(x)=3x/absolute x pls is this function even or odd. Please i need an urgent answer (answered by stanbon)

The function f(x) = -2x^3 is The function f(x) = 5x^3 The function cube root of... (answered by stanbon)

Thanks for the answers for the previous questions. Pls, am having difficulty with these (answered by stanbon)

Determine algebraically whether f(x) = |x^3-x|+3cos(x) is even, odd, or neither. And i... (answered by Fombitz)

For what numbers x is f(x) = 0? the graph is: its starts from -1 on the y-axis and cuts... (answered by jim_thompson5910)

i must state if these are odd or even. i would appreciate any help. thanks 1. f(x)=sinx (answered by nyc_function)

Is f(x)=1/3x^3+2 an even or odd... (answered by stanbon)

How do I determine if the following polynomial functions have even or odd symmetry, or... (answered by Boreal)

fine the domain of the following functions f(x)=(x-4)/(x+5) g(x)=square root of (5x-1) (answered by stanbon)