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We have been using the equation attached as in image to calculate experiment uncertainty in my class, can somebody explain exactly how this works?

Let’s say we have a value y which is equal to 1/x, where x is some measured quantity with some uncertainty, and let’s say that that value of x is measured to be 5.

We can say that y = 1/5 +/- some error value determined by the equation. I don’t quite understand how this works. If the uncertainty in x was 1, the greatest value of y would be 1/4, while the smallest would be 1/6. 1/4 and 1/6 are not equally far from 1/5, so how can the value of y be expressed as 1/5 +/- any number?

Let’s say we have a value y which is equal to 1/x, where x is some measured quantity with some uncertainty, and let’s say that that value of x is measured to be 5.

We can say that y = 1/5 +/- some error value determined by the equation. I don’t quite understand how this works. If the uncertainty in x was 1, the greatest value of y would be 1/4, while the smallest would be 1/6. 1/4 and 1/6 are not equally far from 1/5, so how can the value of y be expressed as 1/5 +/- any number?