Question

Select the correct answer. If `f(x) = 2x^2 - 4x - 3` and `g(x) = (x - 4)(x + 4)`, find `f(x) - g(x).` a. `4x + 13` b. `x^2 - 4x + 13` c. `3x^2 - 4x + 13` d. `-4x^2 - 4x + 13`

Answer 1

f(x) = 2x² - 4x - 3

g(x) = (x - 4)(x + 4)  = x² - 16

f(x) - g(x) = 2x² - 4x - 3 - (x² - 16)

              = 2x² - 4x - 3 - x² + 16

              = x² - 4x + 13

Answer: B