Answer:
The correct option is;
The domain restriction is correct but the expression for f⁻¹(x) is not
Step-by-step explanation:
The expression for the function is given as follows;
f(x) = x² - 331
The inverse function suggested = f⁻¹(x) = √(x-331)
The domain restriction is x ≥ 0
The inverse function if given as follows;
y = x² - 331 (Interchange x and y to get)
x = y² - 331
x + 331 = y²
y = ±√(x + 331)
Given that the domain restriction has been put as x ≥ 0, we select the + case to give;
f⁻¹(x) = √(x + 331)
Therefore, the domain restriction is correct but the expression for f⁻¹(x) is not.
