We have the functions:
[tex]\begin{gathered} f(x)=2x+5 \\ g(x)=2x+3 \end{gathered}[/tex]And we want to know an expression for:
[tex](f+g)(x)[/tex]For doing so, we remember that:
[tex](f+g)(x)=f(x)+g(x)[/tex]And thus, replacing we obtain:
[tex]\begin{gathered} (f+g)(x) \\ =f(x)+g(x) \\ =(2x+5)+(2x+3) \\ =4x+8 \end{gathered}[/tex]This means that (f+g)(x)=4x+8.
