Sally found that a solution of x = 2 was extraneous for her function. What would be a possible denominator in Sally's function? A 4x + 8 B 2x + 12 C x2 − 4 D x2 − 16

Answer:x² - 4 would be the denominator in Sally's function ⇒ answer (C)Step-by-step explanation:* In any rational function the domain of it (values of x) is all the  real numbers except the numbers which make the  denominator = 0* Ex:  In x - 3/x - 2∵ The denominator = x - 2∵ The value of x which make the denominator = 0 is 2∴ The domain is all real number except 2* So If you want to know the denominator search for the  values which make the denominator equal to zero.* In the problem sally found that a solution of x = 2 was  extraneous for the function- That means the function not defined at x = 2∵ x = 2⇒ subtract 2 from both sides∴ x - 2 = 0 * Now look to the answer and find which one when you  equate it by 0 give you the answer x = 2A) ∵ 4x + 8 = 0 ⇒ subtract 8 from both sides∴ 4x = -8 ⇒ ÷ 4∴ x = -2 ⇒ not the answerB) ∵ 2x + 12 = 0 ⇒ subtract 12 from both sides∴ 2x = -12 ⇒ ÷ 2∴ x = -6 ⇒ not the answerC) ∵ x² - 4 = 0 ⇒ add 4 to the both sides∴ x² = 4 ⇒ take √ to both sides∴ x = ± 2 ⇒ the answer* That means x = 2 or x = -2* x² - 4 would be the denominator in Sally's function