Functions Question 101
Which of the following functions is an 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 $
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Answer:
Correct Answer: A
Solution:
For finding inverse of any function, function should be bijective. Since $ f(x)=\frac{1}{x-1} $ is not a bijective function.
BETA
