Answer:
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