Given: F(x) = 2x and G(x) = x2+ 2

Find (F + G)(x).

The answer to the question is:

(F+G)(x)= x²+2x+2

Step-by-step explanation:

The solution of the given question is pretty simple.

The given equations are

F(x) = 2x

G(x) = x²+2

We have to find (F+G)(x).

Which means that we simply have to add the values of both functions F(x) and G(x).

(F+G)(x) = F(x) + G(x)

All we have to do is substitute the values of both functions F(x) and G(x) into the given equation.

(F+G)(x) = (2x) + (x² +2)

Rearranging the terms

(F+G)(x)= x²+2x+2

Which is the answer to the question