My Math Forum state the domain of the following use set notation and interval notation

 Algebra Pre-Algebra and Basic Algebra Math Forum

April 5th, 2017, 01:20 AM   #11
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 Originally Posted by GIjoefan1976 thank you for asking, I think I do because the x is positive, and even though it says negative it would still be 1 since it's one space no matter which way we go?
In order for $\sqrt{\text{anything}}$ to be defined, the anything has to be greater than or equal to 0.

So if the anything is $x - 1$, we must have $x - 1 \geq 0$ which implies $x \geq 1$. Does that make sense?

April 5th, 2017, 08:09 AM   #12
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 Originally Posted by Maschke In order for $\sqrt{\text{anything}}$ to be defined, the anything has to be greater than or equal to 0. So if the anything is $x - 1$, we must have $x - 1 \geq 0$ which implies $x \geq 1$. Does that make sense?
Thanks for asking and for helping, I am not sure if it makes sense to me as unless it just does not happen with square roots can't we have -00 which means it could be equal to or less than.
and of course if I don't make senses it's just because my knowledge and understanding is not there yet or if it is I just don't yet possibly get the connection yet.

April 5th, 2017, 09:44 AM   #13
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 Originally Posted by GIjoefan1976 Thanks for asking and for helping, I am not sure if it makes sense to me as unless it just does not happen with square roots can't we have -00 which means it could be equal to or less than. and of course if I don't make senses it's just because my knowledge and understanding is not there yet or if it is I just don't yet possibly get the connection yet.
Do you know what is the domain of the square root function? That's the place to start.

April 5th, 2017, 01:55 PM   #14
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 Originally Posted by Maschke Do you know what is the domain of the square root function? That's the place to start.
I think so is it just what number do we get when a number multiplied by it's self ?

April 5th, 2017, 02:00 PM   #15
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 Originally Posted by GIjoefan1976 I think so is it just what number do we get when a number multiplied by it's self ?
Ah. No. There's a more fundamental issue. Two in fact.

The question was, do you know what is the domain of the square root function? We're given a function and we need to find its domain. So,

* Do you know what a function is?

* Do you know what the domain of a function is?

If those aren't clear let's talk about them.

 April 5th, 2017, 02:27 PM #16 Senior Member   Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10 oh boo sorry, I think a function has been explained to me as the input to a output, yet I always only look at it has what we replace x with or what we move to where X is. I think the domain of the function is our x
April 5th, 2017, 02:55 PM   #17
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 Originally Posted by GIjoefan1976 oh boo sorry, I think a function has been explained to me as the input to a output, yet I always only look at it has what we replace x with or what we move to where X is. I think the domain of the function is our x
Ok. Then what is the domain of the square root function? What real numbers $x$ can you legally input to $\sqrt{x}$?

April 5th, 2017, 03:51 PM   #18
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 Originally Posted by Maschke Ok. Then what is the domain of the square root function? What real numbers $x$ can you legally input to $\sqrt{x}$?
I think this is where we can use any number sorry if I am wrong.

April 5th, 2017, 03:57 PM   #19
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 Originally Posted by GIjoefan1976 I think this is where we can use any number sorry if I am wrong.
Ok, let's try out some numbers.

What happens when we put 4 into the square root function? What comes out?

How about if we input 1?

Four questions, requires four answers. Bearing in mind that we are living in the real numbers.

April 5th, 2017, 05:01 PM   #20
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 Originally Posted by Maschke Ok, let's try out some numbers. What happens when we put 4 into the square root function? What comes out? How about if we input 1? How about 0? How about -1? Four questions, requires four answers. Bearing in mind that we are living in the real numbers.
Okay thanks if I did it right looks like it has to be zero or a positive number and can't be negative.

 Tags domain, interval, notation, set, state

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