35. Explain the difference between the reciprocal of x^2 and the inverse of x^2. (number 35 in the pic)

As you can see, the difference between the reciprocal of and the inverse of   is that and .

Step-by-step explanation:

First lets find both the reciprocal of and the inverse of

Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of , 1 is the denominator, so

To find the inverse of a function, you first need swap the locations of x and y in the equation

Now, you need to solve for y

Now, lets rewrite each of these to better compare them

As you can see, the difference between the reciprocal of and the inverse of

step-by-step explanation:

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step-by-step explanation: