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For what value of X is the expression below defined? sqrt 4x^2 divided by sqrt 3x

For what value of X is the expression below defined? sqrt 4x^2 divided by sqrt 3x-example-1
User Anthony D
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1 Answer

5 votes

Answer:

x > 0

Explanation:

Restriction on x from the numerator.

The radicand cannot be negative.

4x² ≥ 0

x ≥ 0

From the numerator, we get that x must be greater than or equal to zero.

Restriction on x from the denominator.

Since here we have a square root in the denominator, and division by zero is undefined, the radicand must be greater than zero.

3x > 0

x > 0

From the denominator, the restriction includes zero also, in addition to not allowing negative values of x.

Answer: x > 0

User Olonge
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