The required domain of the inverse function is x ≤ 0. Hence option D is correct.
f(x) = -x^2
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
Inverse of function f(x) = -x^2
y = -x^2
x = √-y
Now,
Inverse function of f(x) is √-x
Its domain is define as less than or equal to zero.
Thus, the required domain of the inverse function is x ≤ 0.
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