Thanks!

- Thread starter strahan
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Thanks!

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- Nov 24, 2012

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If you graph that function, you should see something like this:

Based on this, what values of \(x\) would you say are outside of the domain?

To find this algebraically, we must observe that the radicand (expression under the radical) cannot be negative, and so to find what values of \(x\) do make that radicand negative, we could write:

\(\displaystyle x-4<0\)

What happens if you add 4 to both sides of the inequality?

Thank you heaps for your help!Hello, and welcome to FMH!

If you graph that function, you should see something like this:

View attachment 11507

Based on this, what values of \(x\) would you say are outside of the domain?

To find this algebraically, we must observe that the radicand (expression under the radical) cannot be negative, and so to find what values of \(x\) do make that radicand negative, we could write:

\(\displaystyle x-4<0\)

What happens if you add 4 to both sides of the inequality?