Answer:
The given function is an odd function.
Step-by-step explanation:
We define a function f(x) as even function when f(-x) = f(x) and odd function when f(-x) = - f(x) and otherwise it is neither even nor odd function.
Now, we are given a function of x as [tex]f(x) = x + \frac{4}{x}[/tex] and we have to deternime whether the function f(x) is even, odd, or neither even nor odd.
Now, [tex]f(-x) = - x + \frac{4}{- x} = - x - \frac{4}{x} = - [x + \frac{4}{x}] = - f(x)[/tex]
Therefore, the given function is an odd function. (Answer)
