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avatar+1123 

These range function problems are really tricky!

 

Find the range of the function
\[f(x) = \frac{x}{(x - 1)} + 2.\]

 Aug 17, 2023
 #1
avatar+126978 
+1

This simplifies to   ( x + 2x - 2) / ( x -1)  =  (3x -2) / ( x -1)

 

We have a horizontal asymptote  at  y= (3x/ x)  =  3

 

The range is  [(-inf , 3) U ( 3 , inf)

 

cool cool cool

 Aug 17, 2023

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