SOLUTION: Find the inverse of: f(x)=3/2x-1

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Question 199967: Find the inverse of: f(x)=3/2x-1
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Is the function f%28x%29=%283%2F2%29x-1 ??? If so, then....


f%28x%29=%283%2F2%29x-1 Start with the given function


y=%283%2F2%29x-1 Replace f(x) with "y"


x=%283%2F2%29y-1 Swap x and y


x%2B1=%283%2F2%29y Add 1 to both sides.


2%28x%2B1%29=3y Multiply both sides by 2.


%282%2F3%29%28x%2B1%29=y Divide both sides by 3.


So the inverse is


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Or....


Is the function f%28x%29=3%2F%282x-1%29 ??? If so, then....


f%28x%29=3%2F%282x-1%29 Start with the given function


y=3%2F%282x-1%29 Replace f(x) with "y"


x=3%2F%282y-1%29 Swap x and y


x%282y-1%29=3 Multiply both sides by 2y-1.


2xy-x=3 Distribute


2xy=3%2Bx Add "x" to both sides.


y=%283%2Bx%29%2F%282x%29 Divide both sides by 2x.


So the inverse is