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Answer :

Answer:

(a) The domain of the function is all negative real number

Step-by-step explanation:

Given

[tex]f(x) = -\sqrt{-x[/tex]

Required

Determine the domain

The domain is the possible values of x which f(x) will be defined.

So, for f(x) to be true:, the following condition must be met:

[tex]-x > 0[/tex]

Divide both sides by -1

[tex]x < 0[/tex]

Hence, (a) is true