ANSWER
![(-∞,+∞)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u33injaedbo6kqee3vydpb430i9gtjsa56.png)
Step-by-step explanation
The given function is
![f(x) = {x}^(2) + 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fn3qs524amqufd492tx2u5ophpgu53yy1n.png)
This is a polynomial function.
Polynomial functions are defined for all real values of x.
For every x-value, there is a corresponding y-value.
Therefore the domain of the given function is all real numbers.
We can rewrite this as:
(-∞,+∞).