Is the function #(x^3+1)/x# odd, even or neither?
1 Answer
Dec 28, 2017
Neither.
Explanation:
Note that:
#(x^3+1)/x = x^2+1/x#
which is the sum of an even function and an odd function, with the result that it is neither.
To confirm, note that:
#f(-1) = ((-1)^3+1)/(-1) = 0#
#f(1) = (1^2+1)/1 = 2#
So