Question

find the domain of f(t) =6t = t^2

Answer 1

Which is it?

Answer 2

it is supposed to say f(t) = 6t+ t^2

Answer 3

The domain is the set of acceptable values of t.

Can you think of any value of t that CANNOT be substituted for t in 6t+ t^2?

Values that would not be acceptable would be numbers that make a denominator 0, a square root radicand negative; that sort of thing.

Answer 4

@CaitMcNair0404

Answer 5

Thank You @Directrix, but I still do not understand because there is no denominator in my equation. I have two quizzes and 1 test due in a week, and I still have nothing done because the website has been down. I am freaking out. Would you mind helping me out with this one step by step for future references? Would 0 be a domain for this? because 6*0=0 and 0^2 would be 0 so it would mean f(t)=0. Am I going about this all wrong?

Answer 6

Typically there are some implicit assumptions about these problems.

Answer 7

The implicit assumption is that the function maps from real numbers to real numbers.

Answer 8

Is there any real number which could not be included in the domain?

Answer 9

What do you mean @wio?

Answer 10

By default, the function maps from all real numbers to all real numbers.

Answer 11

Yes...

Answer 12

As @Directrix said, if you have 0 in denominator or <0 in a square root, then your function can't output a real number.

Answer 13

So any such points would be removed from the domain.

Answer 14

However in this case, nothing like that happens. This means the domains remains all real numbers.

Answer 15

Yes, so a domain is the number that would make the answer invalid. Such as if it were f(x)= 2/x 0 would be a domain because it would make it 2/0. Is that correct?

Answer 16

Wrong, the domain is any place where the answer is still valid.

Answer 17

Though, when we say 'valid' what we mean is the result is a real number.

Answer 18

so for f(x)=2/x what would be the domain? I'm trying to find an easy equation that I maybe could understand so that I could possibly "dumb down" the harder ones

Answer 19

I understand that for my original question you said my domain would be all real numbers. THis is an online class and it says that my answers have to be in interval notation. my book is NO help in this. I promise I have read every word, every page, every number, every example and I still do not understand @wio .. BUT I do tremendously appreciate your help.

Answer 20

The domain would be \((-\infty,0)\cup (0,\infty)\)

Answer 21

Or \( x\in \mathbb R, x\neq 0\)

Answer 22

The domain is expressed as a mathematical structure known as a "set"

Answer 23

Even \(x\in \mathbb R \setminus \{0\}\) works.

Answer 24

Interval notation generally uses \((,)\ [,]\)

Answer 25

It uses \(\cup\) to combine two intervals.

Answer 26

My online answer box will not let me type /.

Answer 27

@wio

Answer 28

(−∞,0)∪(0,∞)

Answer 29

try that.

Answer 30

It said incorrect. :/ it is typed exactly as you have it.

Answer 31

Maybe

(-infinity, 0) union (0, infinity)

Answer 32

honestly, I hate how these problems are picky about input.

Answer 33

when I type the word infinity, the ∞ symbol automatically appears.

Answer 34

how about union?

Answer 35

I hae the problems period lol.

Answer 36

if union doesn't work, you could try comma ,

Answer 37

Oh wait!

Answer 38

The answer is \((-\infty, \infty)\) for the original problem.

Answer 39

I was talking about \(3/x\) before.

Answer 40

YES!!!!!!! IT WORKED!!!! THANK YOU SO MUCHHHH!!!! If it is ok with you, would I be able to request your help on here for future help?

Answer 41

Yeah.

Answer 42

Thank you!