Functions Question 672

Question: If $ y=f(x)=\frac{x+2}{x-1} $ , then $ x= $

[IIT 1984]

Options:

A) $ f(y) $

B) $ 2f(y) $

C) $ \frac{1}{f(y)} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ y=\frac{x+2}{x-1}\Rightarrow x=\frac{3}{y-1}+1=\frac{y+2}{y-1}=f(y) $ .