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Which any quality represents all values of X forward the quote below is defined

Which any quality represents all values of X forward the quote below is defined-example-1
User Flashburn
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1 Answer

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15 votes

We are given the following expression


√(28(x-1))/√(8x^2)

Let us find out for which values of x the above expression is defined.

Notice that x cannot be 0 since it will make the denominator 0 and the expression will be undefined.

Also, notice that x cannot be less than 0 since it will make the numerator negative and the expression will be undefined.

So, options A and D are straightaway incorrect.

Let us check if the expression is defined for x = 1


√(28(1-1))/√(8(1)^2)=0/√(8)=0

As you can see, the expression is defined for x = 1

We already know that the expression is defined for all values of x greater than 1.

The given expression is defined for all values of x equal to or greater than 1.

Therefore, the correct answer is option C.

User Tal Bronfer
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