If g (x) = 2x + 1, find g (a + h) - g (a). 2h 2h + 2 h + 1

G (x) = 2x + 1

Find g (a + h):

g (a + h) = 2 (a + h) + 1 = 2a + 2h + 1

Find g (a):

g (a) = 2 (a) + 1 = 2a + 1

Find g (a + h) - g (a):

g (a + h) - g (a) = 2a + 2h + 1 - (2a + 1)

Distribute the negative sign:

g (a + h) - g (a) = 2a + 2h + 1 - 2a - 1

Combine like terms:

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

Answer: 2h