Question

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

Answer 1

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.

Answer 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.