The domain for which the function is defined is given by:
D. .
The domain of a function is the set that contains all possible input values for the function.
A square root is only defined for non-negative values, hence:
The intersection of these two domains is , hence option D is correct.
More can be learned about the domain of a function at brainly.com/question/10891721
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Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°
We need to determine the coordinates of the point A'
<u>Reflection over the y - axis:</u>
The coordinates of the point A is (-2,1)
The transformation rule to reflect across the y - axis is
Substituting the point (-2,1) in the rule, we get;
Thus, the coordinates of the point A after reflection over the y - axis is (2,1)
<u>Reflection over the x - axis:</u>
The transformation rule to reflect across the x - axis is
Substituting the point (2,1) in the rule, we get;
Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)
<u>Rotation about 180°:</u>
The transformation rule to rotate about 180° is
Substituting the point (2,-1) in the rule, we get;
Thus, the coordinates of the point A after the rotation about 180° is (-2,1)
Therefore, the coordinates of the point A' is (-2,1)
Hence, Option B is the correct answer.