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) $ .