SOLUTION: 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
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-> SOLUTION: 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
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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 Found 2 solutions by Solver92311, MathTherapy:Answer by Solver92311(821) (Show Source):
You can put this solution on YOUR website! 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
Since , we get:
Since and , then ;
We then get:
3 = c - 3m ----- eq (i)
3 = - 4m - 3m ------- Substituting - 4m for c in eq (i)
3 = - 7m
4m = c ----- eq (ii)
4m = c ------- Substituting - 4m for c in eq (ii)
