Answer: First option.
Explanation:
Given the function f(x):
And the function g(x):
![g(x)=-6x-3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p7qqf99ii3vvncmc95taeahq77uzyqxej6.png)
You need to add them to get
. Then:
![f(x)+g(x)=(2x-7)+(-6x-3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bmwnpgr1x2ivuhbnwx4h5o2veytczuaesv.png)
Therefore, when you add the like terms you get that
is:
![f(x)+g(x)=2x-7-6x-3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/agj00tq7mitwkkb11aeseeernd6dszqjpl.png)
![f(x)+g(x)=-4x-10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/blw0rjbxkk2v2atybgr8fni29ef15zgwee.png)
Since it is a linear function, the Domain is: All real numbers.
You can observe that the result obtained matches witht the first option.