Mathematics
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OpenStudy (alystar):
How to do inverse functions?
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OpenStudy (alystar):
f(x)=sqr(2x-6)
OpenStudy (jackthegreatest):
\[y = \sqrt{2x-6}\]
OpenStudy (jackthegreatest):
is that right?
OpenStudy (alystar):
yes!
OpenStudy (jackthegreatest):
if it is, all you need to do is flip x and y
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OpenStudy (jackthegreatest):
\[x = \sqrt{2y-6}\]
OpenStudy (jackthegreatest):
are you able to solve for y?
OpenStudy (alystar):
OH Wow thats a lot easier than I figured. That makes sense though. I was just confused from more complicated problems. Thanks!
OpenStudy (jackthegreatest):
yep np
OpenStudy (jackthegreatest):
tell me the answer when your done
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OpenStudy (alystar):
y=(x^2/x)+3
OpenStudy (jackthegreatest):
i got \[y = \frac{ x^2 + 6 }{ 2}\]
OpenStudy (mathmale):
JACK: please go through Alystar's solution step by step to help him/her with any errors.
OpenStudy (jackthegreatest):
mathmale i am
OpenStudy (mathmale):
But let him/her do the actual work!
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OpenStudy (jackthegreatest):
i am seeing if he can see what is wrong first
OpenStudy (jackthegreatest):
(or her)
OpenStudy (alystar):
So if the question is to find the inverse of f(x) would the answer be just \[y = \frac{ x^2 + 6 }{ 2}\]
OpenStudy (jackthegreatest):
yes, im trying to figure where you went wrong
OpenStudy (alystar):
or do you not even have to simplify it
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OpenStudy (jackthegreatest):
wait a min
OpenStudy (jackthegreatest):
you were right!
OpenStudy (jackthegreatest):
i didnt simplify, ha!
OpenStudy (jackthegreatest):
we have equivalent answers :D:D:D
OpenStudy (alystar):
Haha! okay. So, it doesn't matter which answer I use. Great! Thanks!
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OpenStudy (alystar):
@mathmale , we're good here. Thanks
OpenStudy (jackthegreatest):
well depending on your teacher, mine doesnt care whether fraction like that or not, it looks neater some times in one fraction
OpenStudy (mathmale):
Accuracy is everything. Looks come second. ;)