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