Math

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

• Math -

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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