document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #465996 by stanbon(75887) $\"\"$ $\"About$

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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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\n" ); document.write( "Domain of f(x): All Real Numbers except x = -2
\n" ); document.write( "Range of f(x): All Real Numbers except y = x/x = 1
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\n" ); document.write( "Inverse ??
\n" ); document.write( "1st: Interchange x and y:
\n" ); document.write( "x = (y-1)/(y+2)
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\n" ); document.write( "xy+x = y-1
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\n" ); document.write( "Solve for \"y\":
\n" ); document.write( "y-xy = x+1
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\n" ); document.write( "y(1-x) = x+1
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\n" ); document.write( "y = (x+1)/(1-x)
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\n" ); document.write( "Domain of f^-1(x)::: All Real Numbers except x = 1
\n" ); document.write( "Range of f^-1(x):::: All Real Numbers except y = 1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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