So we want to know which of the following functions has an inverse function. So an inverse function is a function that "reverses" another function. We need to put y instead of x and x instead of y. So for the first case: y=x is x=y so this function has an inverse function. y=x^2 is x=y^2 so y=sqrt(x). y=x^3 is x=y^3 so y=∛x. y=x^4 so x=y^4, y=4√x or forth root of x. So all of our functions have an inverse function.
Solution:
<u>We know that:</u>



<u>Simplify the equation to find the percent off:</u>

![84\% + \bold{16\%} = 100\% \space\ \space\ \space\ \ \ \ \ [Rounded]](https://tex.z-dn.net/?f=84%5C%25%20%2B%20%5Cbold%7B16%5C%25%7D%20%3D%20100%5C%25%20%5Cspace%5C%20%5Cspace%5C%20%5Cspace%5C%20%5C%20%5C%20%5C%20%5C%20%5BRounded%5D)
This means that the <u>original price</u> has decreased about 16%.
It should be |-80+15|=65 units because absolute value makes it positive.
The Piecewise -Defined function and how it is graphed is given below..
<h3>What is the explanation of how the
Piecewise -Defined function is graphed?</h3>
Given the function in the attached image,
- The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.
- The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.
- The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.
See the attached Graph for better understanding.
- f(x) = -x + 3 is coded purple.
- f(x) = 3 is coded orange.
- f(x) = 4 - 2x is coded green.
Learn more about Piecewise -Defined function:
brainly.com/question/18859540
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