The correct answers are x≠2 and x≠(-2).

Domain restrictions are any points in the domain where the function will not have a value. This basically means that it's a point where x won't work in the function.

For the numerator, any value will work for x. We can have a value of 0 in the numerator, or a positive, negative, or decimal number.

However, the denominator cannot equal 0. This is because a fraction bar represents division, and we cannot divide by 0. The values that make the denominator 0 can be found by:

x²-4=0

Add 4 to both sides:
x²-4+4 = 0+4
x² = 4

Take the square root of both sides:
√x² = √4

x = 2 or x = -2.

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2 years ago

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Triangle QRS is to be dilated using the rule D Subscript P, three-fourths.

zaharov [31]

The distance from the center of dilation, P, to.the image vertice S' is; 6 units.

<h3>What is the distance from the center of dilation, P, to the image S'?</h3>

It follows from the task content that the center of dilation of the triangle QRS is point P and the length of segment PS in the pre-image is; 8 units.

Hence, since the dilation factor as given in the task content is; three-fourths, it therefore follows that the distance of point P to S' in the image is; (3/4) × 8 = 6units.