Question

If g (x) = 2x + 2, find g (a + h) - g a. . a. 2h b. 2h + 4 c. h + 2

Answer 1

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.

Answer 2

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.