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Mathematics 14 Online
OpenStudy (anonymous):

I have trouble finding the inverse of this function : f(x)= (x-1000) - 0.15x Thanks :)

OpenStudy (anonymous):

does it really say \[f(x)=x-1000-.15x\]?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

first step would be to write this as \[f(x)=.85x-1000\]

OpenStudy (anonymous):

Oh ok, and now should I "solve" for x?

OpenStudy (anonymous):

write \[x=.85y-1000\] and solve for \(y\) in two steps

OpenStudy (anonymous):

\[x+1000=.85y\] \[y=\frac{x+1000}{.85}\]

OpenStudy (anonymous):

and that is your inverse

OpenStudy (anonymous):

Oh, ok I got it! Thanks a lot :)

OpenStudy (anonymous):

yw

OpenStudy (anonymous):

you might want to clean it up so you don't have a decimal in the denominator

OpenStudy (anonymous):

Sure, I will.

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