Which of the following is not a self-inverse function? 𝑦=𝑥 𝑦=1𝑥𝑦=−𝑥𝑦=𝑥Answer savedReport a problemPrevious question

The function that is not self-inverse among the given options is 𝑦=1/𝑥.

A self-inverse function is a function which is its own inverse. This means that if the function is applied twice, the original input is retrieved.

For 𝑦=𝑥 and 𝑦=−𝑥, if you apply the function twice, you get back the original input. For example, if 𝑥=2, then 𝑦=2 for 𝑦=𝑥 and if you apply the function again, you get 𝑥=2. Similarly for 𝑦=−𝑥, if 𝑥=2, then 𝑦=−2 and if you apply the function again, you get 𝑥=2.

However, for 𝑦=1/𝑥, if you apply the function twice, you do not get back the original input. For example, if 𝑥=2, then