Two functions are shown in the table below.

Function 1 2 3 4 5 6

f (x) = - x2 + 4x + 12

g (x) = x + 8

Complete the table on your own paper, then select the value that is a solution to f (x) = g (x).

x = 3

x = 4

x = 5

x = 6

Given:

f (x) = - x² + 4x + 12

g (x) = x + 8

f (1) = - (1) ² + 4 (1) + 12 = - 1 + 4 + 12 = - 1 + 16 = 15

f (2) = - (2) ² + 4 (2) + 12 = - 4 + 8 + 12 = - 4 + 20 = 16

f (3) = - (3) ² + 4 (3) + 12 = - 9 + 12 + 12 = - 9 + 24 = 15

f (4) = - (4) ² + 4 (4) + 12 = - 16 + 16 + 12 = - 16 + 28 = 12

f (5) = - (5) ² + 4 (5) + 12 = - 25 + 20 + 12 = - 25 + 32 = 7

f (6) = - (6) ² + 4 (6) + 12 = - 36 + 24 + 12 = - 36 + 36 = 0

g (1) = 1 + 8 = 9

g (2) = 2 + 8 = 10

g (3) = 3 + 8 = 11

g (4) = 4 + 8 = 12

g (5) = 5 + 8 = 13

g (6) = 6 + 8 = 14

f (x) = g (x) when x = 4

f (4) = g (4)

12 = 12