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Given that f:x2x1x+2,x2, fi...

Given that f:x2x1x+2,x2, find f1, the inverse of f

A.

f1:x1+2x2x,x2

B.

f1:x12xx+2,x2

C.

f1:x12xx2,x2

D.

f1:x1+2xx+2,x2

Correct answer is A

f(x)=2x1x+2

y=2x1x+2

x=2y1y+2x(y+2)=2y1

xy2y=12xy=12xx2

f1:x1+2x2x;x2