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 $

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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 bijective function.