SOLUTION: the function f(x)=(5x/x+7) is one to one find the inverse of f and the range of f using the inverse.
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Question 381187: the function f(x)=(5x/x+7) is one to one find the inverse of f and the range of f using the inverse.
Answer by Jk22(389) (Show Source): You can put this solution on YOUR website!
from f(x)=5x/(x+7), we shall have x<>-7
let write f(x)=y, then y*(x+7)=5x=yx+7y
x(5-y)=7y => y = 7y/(5-y), hence y should be different from 5
Check : x(f(x))=7*5x/(x+7)/(5-5x/(x+7))=35x/(x+7)*(x+7)/(5x+35-5x)
=35x/35=x
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