Which of the following functions satisfies the equation f of 1 over x equals 1 over f of x? So let's just try out the first one just to see if this can give us any intuition. So f of 1 over x is 2 over 1 over x is 2x. And 1 over f of x is x over 2. Okay, so 2x and x over 2, those are pretty close to each other, but they're not equal to each other like they're supposed to be. But this is going to, I think this gives us some intuition that the answer should be close to 2 over x. So what if we try 1 over x instead? f of 1 over x is 1 over 1 over x, because you just plug in 1 over x right here. Well, if we also do 1 over f of x, that's exactly the same thing. And so our answer is d.

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