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anonymous
 4 years ago
determine if the function has an inverse that is a function. justify your answer. if it does, find the inverse function:
f(x)=(x+3)/(x2)
anonymous
 4 years ago
determine if the function has an inverse that is a function. justify your answer. if it does, find the inverse function: f(x)=(x+3)/(x2)

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok this takes a bit of algebra

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0rewrite as \[y=\frac{x+3}{x2}\] and then either solve for x or switch x and y and solve for y. i will do it the second way

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[x=\frac{y+3}{y2}\] multiply to get rid of the denominator \[x(y2)=y+3\] multiply out on the left \[xy2x=y+3\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0put all the y's on one side \[xyy=2x+3\] factor out the y \[y(x1)=2x+3\] divide to get y by itself \[y=\frac{2x+3}{x1}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and thats the inverse right?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i mean it is it when you write \[f^{1}=\frac{2x+3}{x1}\]
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