Posted by **Laura** on Wednesday, November 14, 2012 at 10:15pm.

What is the inverse equation of f(x)=(x+2)/(x-1)?

- Math -
**Reiny**, Wednesday, November 14, 2012 at 10:45pm
let y = (x+2)/(x-1)

first step in finding the inverse is to interchange the x and y variables, so

inverse is

x = (y+2)/(y-1)

now solve this for y

xy-x = y+2

xy - y = 2+x

y(x-1) = 2+x

**y = (x+2)/(x-1)**

test with some x and y

in original , let x = 2

then y = 4/1 = 4

in new equation , let x = 4, should get y = 2

y = (4+2)/(4-1) = 6/3 = 2

yeah!!!!

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