Reciprocal squared function and properties

Explanation

What is Reciprocal squared function and properties?

Did you know that the swinging motion of the pendulum can be modeled using mathematical properties and equations? For instance, the frequency (in Hertz), which is the number of full swings per second of one swing of the pendulum, is equal to the reciprocal of the period (in seconds), which is the time it takes for the pendulum to make one full swing back and forth.

Recall that the reciprocal of a number x is 1/x, so, we can find the frequency of a pendulum's swinging motion by finding the reciprocal of the period. For instance, consider a pendulum with a period of 2 seconds. To find the frequency of this pendulum, we find the reciprocal of 2, which is 1/2.

Pretty neat, huh? Let's take it a step further. In general, if we let the frequency of a pendulum be f and the period of a pendulum be p, we have that f = 1/p. In mathematics, we call this a reciprocal function. In the same way that the reciprocal of a number x is 1/x, the reciprocal function of a function f(x) is 1/f(x).

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