Answer: First option.
Step-by-step explanation:
Given the function f(x):
[tex]f(x)=2x-7[/tex]
And the function g(x):
[tex]g(x)=-6x-3[/tex]
You need to add them to get [tex]f(x)+g(x)[/tex]. Then:
[tex]f(x)+g(x)=(2x-7)+(-6x-3)[/tex]
Therefore, when you add the like terms you get that [tex]f(x)+g(x)[/tex] is:
[tex]f(x)+g(x)=2x-7-6x-3[/tex]
[tex]f(x)+g(x)=-4x-10[/tex]
Since it is a linear function, the Domain is: All real numbers.
You can observe that the result obtained matches witht the first option.
