Answer:
The function is defined when x > 0
Step-by-step explanation:
Functions with radicals are only undefined when the value in the radical is negative, because the root of a negative number is imaginary.
We know the function is undefined when the denominator is equal to zero. [tex]\sqrt{2x}[/tex] is equal to zero when x=0.
We also know that functions with radicals are undefined when the value in the radicals are negative, because the root of a negative number is imaginary. . [tex]8x^{2}[/tex] will always be positive, but [tex]2x[/tex] is negative when x < 0.
So the function is undefined when x = 0, and when x < 0.
Therefore it is defined when x > 0
