Answer:
No restriction
Domain:
![(-\infty,\infty)](https://img.qammunity.org/2020/formulas/mathematics/high-school/6k6cwn3rv3uz8czn6halfh7goigmp9t9zy.png)
Explanation:
We are given function as
![f(x)=e^(x+4)+7](https://img.qammunity.org/2020/formulas/mathematics/high-school/j340sjs79qfjnnhncnloclghksctx5us71.png)
we know that this is exponential function
and x+4 as an exponent over e
so, we can select any real values of x as an exponent
and this function will be defined for all values of x
so, there won't be any value of x where f(x) is undefined
So, domain would be
![(-\infty,\infty)](https://img.qammunity.org/2020/formulas/mathematics/high-school/6k6cwn3rv3uz8czn6halfh7goigmp9t9zy.png)