Question

F(x) = 2x + 5g(x) = 2x + 3Find (f +g)(x)

Answer 1

We have the functions:

`\begin{gathered} f(x)=2x+5 \\ g(x)=2x+3 \end{gathered}`

And we want to know an expression for:

`(f+g)(x)`

For doing so, we remember that:

`(f+g)(x)=f(x)+g(x)`

And thus, replacing we obtain:

`\begin{gathered} (f+g)(x) \\ =f(x)+g(x) \\ =(2x+5)+(2x+3) \\ =4x+8 \end{gathered}`

This means that (f+g)(x)=4x+8.