Consider the function f(x) = x^2 – 331. Chivonne claims a domain restriction x ≥ 0 produces the inverse function f–1(x) = √ x - 331 . Which statement describes whether Chivonne is correct?

A) The expression for f–1(x) is correct, but the domain restriction is not.
B) The domain restriction is correct, but the expression for f–1(x) is not.
C) Both the expression for f–1(x) and the domain restriction are correct.
D) Neither the domain restriction nor the expression for f–1(x) is correct.

The correct option is;

D) Neither the domain restriction nor the expression for f⁻¹(x) is correct

Step-by-step explanation:

The given function can be written as follows;

f(x) = x² - 331

The inverse of the function f(x), which is f⁻¹(x), can be found as follows;

Let f(x) = x² - 331 = y, we have;

f(x) + 331 = x²

x = √(f(x) + 331)

We replace x with f⁻¹(x) and f(x) with x, to get;

f⁻¹(x) = √(x + 331)

We note that the domain of the inverse function will include values from x ≥ -331, and the correct inverse function √(x + 331) ≠ √x - 331

Therefore, we have that neither the domain restriction nor the expression for f⁻¹(x) is correct.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

lockers 1, 4, 9, 16, 25, 40, and 49 are open

i ran through it by the other answer is wrong