anonymous
  • anonymous
What is the inverse of y = 5 - 3x? Show all your steps
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
write the same equation in term of y that is the inverse
ParthKohli
  • ParthKohli
In inverse functions, the \(x\) replaces \(y\). Here,\[x = 5 - 3y\]Now solve for \(y\).
anonymous
  • anonymous
Well, I kinda get the idea how to do this. Just want step by step. I have done similar problems.

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anonymous
  • anonymous
switch the x & y x = 5 - 3y subtract 5 from each side x - 5 = -3y divide by -3 on each side so (x-5)/3
ParthKohli
  • ParthKohli
\[\begin{aligned}x-5&=-3y \\ {x -5 \over -3}&=y \end{aligned}\]
ParthKohli
  • ParthKohli
Or,\[{-x + 5 \over 3} = y\]Or\[{5 - x \over 3} = y\]
anonymous
  • anonymous
Ahh, so I am just switching x and y around?
ParthKohli
  • ParthKohli
Yeah
anonymous
  • anonymous
Gotcha, thanks ya'll! (:

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