SOLUTION: Find the inverse of the given one to one function f(x) = (x-1)/(x+2) Give the domain and the range of f and of inverse

Question 765186: Find the inverse of the given one to one function f(x) = (x-1)/(x+2) Give the domain and the range of f and of inverse
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the inverse of the given one to one function f(x) = (x-1)/(x+2) Give the domain and the range of f and of inverse
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Domain of f(x): All Real Numbers except x = -2
Range of f(x): All Real Numbers except y = x/x = 1
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Inverse ??
1st: Interchange x and y:
x = (y-1)/(y+2)
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xy+x = y-1
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Solve for "y":
y-xy = x+1
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y(1-x) = x+1
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y = (x+1)/(1-x)
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Domain of f^-1(x)::: All Real Numbers except x = 1
Range of f^-1(x):::: All Real Numbers except y = 1
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Cheers,
Stan H.

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