Find the following values of the function:

Question

Let g (x) = 2/3 x − 4

a. g (2)

b. g (4)

c. g (0)

d. g (9)

e. g (- 1/3)

Answer 1

g(x) = (2/3)x - 4

g(2) = (2/3)(2) - 4 = 4/3 - 4 = 4/3 -12/3 = -8/3 = - 2 2/3

g(4) = (2/3)(4) = 8/3 -12/3 = -4/3 = - 1 1/3

g(0) = -4

g(9) = (2/3)(9)-4 = 6-4 = 2

g(-1/3) = (2/3)(-1/3) - 36/9 = -2/9 - 36/9 = - 38/9 = - 4 2/9