anonymous
  • anonymous
h(3) h(x)= 5|x|/x
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
i plug this one in calculator and got 5 as final answer
anonymous
  • anonymous
That looks right.

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anonymous
  • anonymous
alright cool :D
anonymous
  • anonymous
for the next one it's asking for h(-2/3) but you can't use a negative for absolute value right? or is it ?
anonymous
  • anonymous
umm why over 5 ? isn't it over -2/3 ?
anonymous
  • anonymous
@Shido88 Sorry, I got distracted. Back now. Absolute value as a function either leaves the thing inside of it alone if it is 0 or positive, or multiplies it b negative 1 if it is negative. So |x|=x IF x is greater than or equal to 0, and |x| = -x IF x is less than 0. So for h(-2/3) you would have\[h(\frac{-2}{3})=5\frac{|\frac{ - 2}{3}|}{\frac{-2}{3}}=5\frac{\frac{2}{3}}{\frac{-2}{3}}\]
anonymous
  • anonymous
Hmm, looks like the negative signs didn't display properly... Well, the 2s that are shifted way over to the right are supposed to have negative signs in front of them.
anonymous
  • anonymous
so basictly anything negative inside the absolute value will turn into positive ?
anonymous
  • anonymous
Yep!
anonymous
  • anonymous
and once u turn the negative into positive then the absolute value sign goes away ?
anonymous
  • anonymous
In this case, yes.
anonymous
  • anonymous
what about h(3a) ?
anonymous
  • anonymous
Ahh, well this depends on if a is positive or not. :P Find the answer for if a is positive, and then the answer for if a is negative. Then you say which one it is based on a.
anonymous
  • anonymous
hmm ? what ? lol
anonymous
  • anonymous
If \[a \ge 0\]then\[h(3a)=5\]and if\[a < 0\]then\[h(3a)=-5\]
anonymous
  • anonymous
i see
anonymous
  • anonymous
what do i have to do to know if a>0 ?
anonymous
  • anonymous
how did you get h(3a)= 5 ? do you just cancel out the 3a ?
anonymous
  • anonymous
Yeah.\[5\frac{3a}{3a}=5\]
anonymous
  • anonymous
oh i see
anonymous
  • anonymous
so if it was h(a-2) would the final answer be 5 anyway ?
anonymous
  • anonymous
Either 5 or -5, depending on a.
anonymous
  • anonymous
ok!
anonymous
  • anonymous
gtg now, thanks again for helping me Aylin :)

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