Two functions are shown in the table below:

f (x) = - x^2 + 4x + 12

g (x) = x + 8

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

A) x = 3

B) x = 4

C) x = 5

D) x = 6

Simply plug in the value of x.

f (x) = - x² + 4x + 12

f (3) = - (3²) + 4 (3) + 12 = - 9 + 12 + 12 = - 9 + 24 = 15

f (4) = - (4²) + 4 (4) + 12 = - 16 + 16 + 12 = 0 + 12 = 12

f (5) = - (5²) + 4 (5) + 12 = - 25 + 20 + 12 = - 25 + 32 = 7

f (6) = - (6²) + 4 (6) + 12 = - 36 + 24 + 12 = - 36 + 36 = 0

g (x) = x + 8

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