SOLUTION: If f(x)= 4(1-x)/(1-1/x), find a simplified expression for f(-1/x).

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Question 1150670: If f(x)= 4(1-x)/(1-1/x), find a simplified expression for f(-1/x).
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Replace each "x" with "-1/x" and simplify....

%284%281-%28-1%2Fx%29%29%29%2F%281-1%2F%28-1%2Fx%29%29

%284%281%2B1%2Fx%29%29%2F%281%2Bx%29

%284%28%28x%2B1%29%2Fx%29%29%2F%28x%2B1%29

4%2Fx

ANSWER: f(-1/x) = 4/x