if f(x)= 2x+1 and g(x)=x^2-7, find (f+g)(x)

Answer 1

(f+g)(x) is the same as f(x) + g(x)

From the problem,

f(x) = 2x + 1

g(x) = x^2 - 7

We will plug our equations for f(x) and g(x) into f(x) + g(x) as shown:

(f+g)(x) = 2x + 1 + x^2 - 7

Now we will combine like terms (which is only the -7 and 1)

(f+g)(x) = 2x + x^2 -6

Let's put it in order and get our answer!

(f+g)(x) = x^2 + 2x -6