Two functions are shown in the table below. Function123456. f (x) = - x2 + 4x + 12 g (x) = x + 8. Given 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

This can be done in two ways

One method is to check the answer options in both f (x) and g (x) and select the one that matches for both.

The second is to form a quadratic equation and solving as such:

f (x) = g (x)

-x² + 4x + 12 = x + 8

x² - 3x - 4 = 0

(x - 4) (x + 1) = 0

x = 4; x = - 1

Only x = 4 is given in the options, so the answer is B