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Let f(x) = (3x - 7)/(x + 1).  Find the inverse f^{-1}(x).

 Apr 25, 2023
 #1
avatar+2667 
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We have the function \(y = {{3x - 7} \over {x+1}}\).

 

To find its inverse, just swap x and y. This gives us \(x = {3y - 7 \over y + 1}\)

 

Now, just solve for y in terms of x. 

 Apr 25, 2023

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