We are given the following function
[tex]f(x)=8-2x^2[/tex]Domain:
The domain of a function is all the possible values of input (x) for which the function is defined,
For the given case, the domain is all the real numbers x from negative infinity to positive infinity.
[tex]domain=(-\infty,\infty)[/tex]Therefore, the domain is all the real numbers x from negative infinity to positive infinity.