anonymous
  • anonymous
Please Help with Pre-Calc Questions anybody please...? For each of the following functions, identify any restrictions on its domain. 5. F(x) = cubroot of (x-2) +3 6. F(x)=log(x-5)+1 7.e^(x+4)+7 Is there any value of x that would cause this function to be undefined? If there are restrictions on the domain, explain those restrictions. If there are no restrictions, explain why that is.
Mathematics
chestercat
  • chestercat
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freckles
  • freckles
well can you do cuberoot of any real number? for example do you know the cuberoot(-1)=? or the cuberoot(0)=? or the cuberoot(1)=?
anonymous
  • anonymous
wouldn't it be -1?
freckles
  • freckles
yes so you can do cuberoot(-1)=-1 so you can do cuberoot of negative numbers or even 0 or positive numbers right?

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freckles
  • freckles
The cuberoot function is defined everywhere.
freckles
  • freckles
what about log can you do log(0) or log(-1)?
anonymous
  • anonymous
right
anonymous
  • anonymous
it would be undef?
freckles
  • freckles
so you know you do log(positive) only
freckles
  • freckles
so you will have restrictions for the log function you have above
anonymous
  • anonymous
yes
freckles
  • freckles
you want x-5 to be positive
freckles
  • freckles
therefore you want x-5 greater than 0 so just solve x-5>0
anonymous
  • anonymous
so for the firs question i just say that it is undef at log(-1) and log(0)?
freckles
  • freckles
well it is undefined when the inside is negative or zero so if you are looking where it is undefined instead of define just negate x-5>0 and you have x-5<=0
anonymous
  • anonymous
? how would i answer the first question?im confused
freckles
  • freckles
I thought we already said yes to that question because you cannot do log(negative or zero number)
freckles
  • freckles
we can do log(positive number) x-5 is positive when it is greater than 0 so you can find x such that x-5>0 by solving the inequality
anonymous
  • anonymous
srry i thought your most recent post was about the first question..
freckles
  • freckles
I'm confused.
freckles
  • freckles
I thought the first question is it undefined anywhere
anonymous
  • anonymous
just continue i understand now
anonymous
  • anonymous
hello?
freckles
  • freckles
hi
freckles
  • freckles
do you have any questions?
anonymous
  • anonymous
there u are
anonymous
  • anonymous
yes can u help me with the rest of them?
freckles
  • freckles
Do you know anything about e^x?
freckles
  • freckles
Do you know of any restrictions ?
freckles
  • freckles
for example does e^(-7) or e^(0) or e^(8) exist?
freckles
  • freckles
can you raise positive numbers to a negative,0, or positive power?
anonymous
  • anonymous
srry i type slow
anonymous
  • anonymous
yes it comes out a decimal
freckles
  • freckles
ok e^x exists everywhere
freckles
  • freckles
you can also look at a visual and see this too
anonymous
  • anonymous
ok
freckles
  • freckles
so only one of the functions you listed has restrictions (or some place where it is not defined) over the real numbers
anonymous
  • anonymous
ok thank u i appreciate it
freckles
  • freckles
so you did understand cuberoot and exponential functions exist everywhere over the real numbers and has domain all real numbers but log functions do have restrictions over the real number because you can only do log(positive numbers)
anonymous
  • anonymous
yes
anonymous
  • anonymous
now i do thank u
freckles
  • freckles
np

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