document.write( "Question 1183082: Two functions f and g are defined by f : x maps to x-1/x+1 , x is not equal to -1 and g : x maps to mx + c,where m and c are constants. Find an expression for f^-1. Given that g^-1(3) = f^-1(2) and that f^-1g(4) = 1,find the value of m and c \n" ); document.write( "
Algebra.Com's Answer #813295 by MathTherapy(10557)\"\" \"About 
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Two functions f and g are defined by f : x maps to x-1/x+1 , x is not equal to -1 and g : x maps to mx + c,where m and c are constants. Find an expression for f^-1. Given that g^-1(3) = f^-1(2) and that f^-1g(4) = 1,find the value of m and c
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document.write( "       Since \"matrix%281%2C3%2C+g%5E%28-+1%29%283%29%2C+%22=%22%2C+f%5E%28-+1%29%282%29%29\", we get:\r\n" );
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document.write( "  Since \"matrix%281%2C3%2C+f%5E%28-+1%29%28x%29%2C+%22=%22%2C+%28-+x+-+1%29%2F%28x+-+1%29%29\" and \"matrix%281%2C3%2C+g%284%29%2C+%22=%22%2C+4m+%2B+c%29\", then     ;      \"matrix%281%2C4%2C+f%5E%28-+1%29%28g%284%29%29%2C+also%2C+%22=%22%2C+1%29\"\r\n" );
document.write( "We then get: \r\n" );
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document.write( "                      3 = c - 3m ----- eq (i)\r\n" );
document.write( "                      3 = - 4m - 3m ------- Substituting - 4m for c in eq (i)\r\n" );
document.write( "                      3 = - 7m\r\n" );
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document.write( "                      4m = c ----- eq (ii)\r\n" );
document.write( "                      4m = c ------- Substituting - 4m for c in eq (ii)\r\n" );
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