If g (x) = 2x + 2, find g (a + h) - g

a ...

a. 2h

b. 2h + 4

c. h + 2

G (x) = 2x + 2

g (a + h) - g (a) = 2 (a+h) + 2 - (2 (a) + 2)

g (a + h) - g (a) = 2a + 2h + 2 - 2a - 2

g (a + h) - g (a) = 2h + 2 - 2

g (a + h) - g (a) = 2h

Your final answer is a. 2h.

G (a+h) = 2 (a+h) + 2=2a+2h+2

g (a) = 2a+2

Subtracting gives 2a+2h+2-2a-2=2h. A is the correct answer.