Answer:
the function f is neither even nor odd
Step-by-step explanation:
f(x) = 3x⁵ - 9
we start by calculating f(-x)
f(-x) = 3(-x)⁵ - 9
= 3(-(x)⁵) - 9 (Since 5 is an odd number then (-x)⁵ = - x⁵)
= - 3x⁵ - 9
Then
f is not even because f(-x) = - 3x⁵ - 9 ≠ 3x⁵ - 9 = f(x)
f is not odd because f(-x) = - 3x⁵ - 9 ≠ -3x⁵ + 9 = -f(x)
