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