Functions Question 101
Question: Which of the following function is inverse function
[AMU 2000]
Options:
A) $ f(x)=\frac{1}{x-1} $
B) $ f(x)=x^{2} $ for all $ x $
C) $ f(x)=x^{2} $ , $ x\ge 0 $
D) $ f(x)=x^{2},\ x\le 0 $
Show Answer
Answer:
Correct Answer: A
Solution:
For finding inverse of any function, function should be bijective. Since $ f(x)=\frac{1}{x-1} $ is bijective function.