we are given the following functions:
[tex]\begin{gathered} f(x)=6x+3 \\ g(x)=x-7 \end{gathered}[/tex]
We are asked to determine:
[tex](f+g)(3)[/tex]
To do that, let's remember the following relationship:
[tex](f+g)(3)=f(3)+g(3)[/tex]
Therefore, we need to substitute x = 3 in each function. Substituting in f(x):
[tex]\begin{gathered} f(3)=6(3)+3 \\ f(3)=18+3 \\ f(3)=21 \end{gathered}[/tex]
Substituting in g(x):
[tex]\begin{gathered} g(3)=3-7 \\ g(3)=-4 \end{gathered}[/tex]
Adding both functions:
[tex]f(3)+g(3)=21-4=17[/tex]
Therefore, the answer is 17.
