Question

Which value of x is NOT in the domain of the function? Express the value as a reduced fraction.

A) x = 1/2
B) x = 2/3
C) x = 3/4
D) x = 4/5

Answer 1

To determine the value of x that is not in the domain of the function, we solve the equation using the quadratic formula. The value that satisfies the equation is x = 1.

Step-by-step explanation:

To find out which value of x is not in the domain of the function, we need to solve the equation (2x)² = 4.0 (1 − x)². By taking the square root of both sides, we get (2x)(1 - x) = 2(1 - x), which simplifies to 2x - 2x² = 2 - 2x. Rearranging the equation, we have 2x² - 4x + 2 = 0. To find the values of x, we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Plugging in the values from the equation, we have x = (-(-4) ± √((-4)² - 4(2)(2))) / (2(2)).

Simplifying further, we have x = (4 ± √(16 - 16)) / 4 = (4 ± √0) / 4 = (4 ± 0) / 4 = 4 / 4 = 1.

Therefore, the value that is not in the domain of the function is x = 1.