For this case we have the following function:
[tex]f (x) = 2x ^ 2 + \frac {5} {x-2}[/tex]
By definition, we have that the domain of a function is given by all the values for which the function is defined. The given function is not defined when the denominator is zero.
So:
[tex]x-2 = 0\\x = 2[/tex]
Thus, the function is not defined at [tex]x = 2.[/tex]
The domain is given by all real numbers except 2.
Answer:
The domain is given by all real numbers except 2.
