anonymous
  • anonymous
Help with functions and domains? so I need to find the domain of y= x² + 4 and I need the steps on how to approach it and I need it in "set builder notation." Thanks in advance!
Mathematics
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katieb
  • katieb
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hartnn
  • hartnn
domain means set of values, the 'x' variable can take. x cannot take values which will make 1) denominator = 0 2) the quantity under square root sign as negative. so what can u say about your x? which values it cannot take ?
anonymous
  • anonymous
So is it that is can take anything? (I'm sorry if that sounds really stupid. I was put in a high math class suddenly and I'm panicking since I have no idea what we're supposed to be reviewing XD)
hartnn
  • hartnn
you are correct! since there is no denominator or square toot sign, your 'x' can take ANY REAL VALUE :) now do u know how to write this in set builder notation ?

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anonymous
  • anonymous
No idea! haha. Is it supposed to be {f(x)If(x)eR, f(x)=∞} ?
hartnn
  • hartnn
something like that only {x| x \(\in\)R} | ----->such that \(\in\) ----> belongs to R----> real number
anonymous
  • anonymous
Also, is that all I have to worry about when it comes to domain? Because my precalculus book makes it so confusing! It just goes in one ear and right out the other!
hartnn
  • hartnn
in most problems, yes, only 2 things, denominator and square root sign
anonymous
  • anonymous
\[y= \sqrt{x-5}\] So if I had that, would it me x must be greater than 4?
hartnn
  • hartnn
whatever under sqrt sign > 0 so, x>5 because number like 4.99999.... will also make x-5 as negative...
hartnn
  • hartnn
oops, x \(\ge 5\) because 5 will make it 0, which is allowed in domain :)
anonymous
  • anonymous
ahhh thank you very very much! does the y come in when I'm writing it in set builder notation I'm so used to interval notation but my teacher strictly wants it set builder.
hartnn
  • hartnn
nopes, only, doamin = {x|x \(\in\) R}
anonymous
  • anonymous
Thanks so much!
hartnn
  • hartnn
welcome ^_^

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