Mathematics
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OpenStudy (anonymous):
Can someone please help me with these question. I really don't know how to do them
1. f-1(4) when f(x) = 3x minus 4, all over 5
2. y + 10 = 2y + 1
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OpenStudy (anonymous):
1) if you solve \(\dfrac{3x-4}{5}=4\) what do you get for x?
OpenStudy (anonymous):
you get 3x=16 right?
OpenStudy (anonymous):
I ask for x, not 3x
OpenStudy (anonymous):
x =??
OpenStudy (anonymous):
so x=16/3
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OpenStudy (anonymous):
simplify more, it is x =8, ok?
OpenStudy (anonymous):
wait how does x=8?
OpenStudy (anonymous):
oh, I am sorry, not 8, you are correct, 16/3
OpenStudy (anonymous):
dont you have to do something with the -1 in f-1(4)?
OpenStudy (anonymous):
f^-1(4)
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OpenStudy (anonymous):
oh no!! you confuse me, we don't get that number
oh boy!
\(\dfrac{3x-4}{5}=4\rightarrow 3x-4=20\rightarrow 3x = 24 \rightarrow x =8\) hahaha...
OpenStudy (anonymous):
ok??
OpenStudy (anonymous):
i thought u had to do something with the inverse of -1. or is that just there.
OpenStudy (anonymous):
yeah, be patient, please, now I do it
OpenStudy (anonymous):
\(f(\color{red}{x})=4\\f^{-1}(4) =\color{red}{x}\)
you have \(f(\color{red}{8})=4\\f^{-1}(4) =\color{red}{8}\)
right?
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OpenStudy (anonymous):
oh i see
OpenStudy (anonymous):
:)
OpenStudy (anonymous):
so the answer is 8 overal
OpenStudy (anonymous):
yup, and don't forget the way how to get the answer.
OpenStudy (anonymous):
i got it thanks :)
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OpenStudy (anonymous):
:)