Functions Question 2
Question: Which of the following functions is inverse of itself
Options:
A) $ f(x)=\frac{1-x}{1+x} $
B) $ f(x)={5^{\log x}} $
C) $ f(x)={2^{x(x-1)}} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Since $ fof(x)=f,(f(x),)=f( \frac{1-x}{1+x} )=\frac{1-\frac{1-x}{1+x}}{1+\frac{1-x}{1+x}}=x,,\forall x $
$ \therefore ,fof=I,\Rightarrow f $ is the inverse of itself.
BETA
