Question

Given two functions f(x)=2x+4 and g(x)=−1/5x−3 , what is the function rule for (f+g)(x) ?

Answer 1

The definition is pretty simple:

$(f+g)(x) = f(x)+g(x)$

So, we only have to sum the expressions:

$f(x)+g(x) = 2x+4 - \dfrac{1}{5}x-3 = \dfrac{9}{5}x+1$