Given:
[tex]f(x)=\sqrt[]{4x}[/tex]
To determine whether the function is even, odd, or neither:
Put x=-x
we get,
[tex]\begin{gathered} f(-x)=\sqrt[]{4(-x)} \\ =2\sqrt[]{-x} \end{gathered}[/tex]
Since,
[tex]f(x)\ne f(-x)\text{ and}f(-x)\ne-f(x)[/tex]
Hence, this given function is neither odd nor even function.
Therefore, the answer is neither.
