Classicpandaidn
Answered

IDNLearn.com: Where your questions meet expert advice and community support. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

For which values of x does each expression make sense? √(-2x)^2

Sagot :

Facundo3141592idn

We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0

We know that the argument of a square root can only be a real number equal to or larger than zero.

In this case, we have the expression:

[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]

One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.

The first thing we need to do is to make the argument equal or larger than zero:

-2x ≥ 0

x ≤ 0/-2

x ≤ 0

So the given expression only makes sense for x ≤ 0

If you want to learn more about rational expressions, you can read:

https://brainly.com/question/18545256

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.