Functions Question 625
Question: If $ f(x)=\frac{x}{x-1}=\frac{1}{y} $ , then $ f(y)= $
[MP PET 1995, 97]
Options:
A) x
B) $ x+1 $
C) $ x-1 $
D) $ 1-x $
Show Answer
Answer:
Correct Answer: D
Solution:
$ f(x)=\frac{x}{x-1}=\frac{1}{y}\Rightarrow \frac{-1}{x-1}=\frac{y-1}{y} $ {Applying dividendo}
$ \Rightarrow \frac{x-1}{-1}=\frac{y}{y-1},\Rightarrow -x+1=f(y). $
BETA
