Answer:
![(fof^{-1})(x)=x](https://tex.z-dn.net/?f=%28fof%5E%7B-1%7D%29%28x%29%3Dx)
Step-by-step explanation:
Composition of two functions f(x) and g(x) is represented by,
(fog)(x) = f[g(x)]
If a function is,
f(x) = (-6x - 8)² [where x ≤
]
Another function is the inverse of f(x),
![f^{-1}(x)=-\frac{\sqrt{x}+8}{6}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D-%5Cfrac%7B%5Csqrt%7Bx%7D%2B8%7D%7B6%7D)
Now composite function of these functions will be,
![(fof^{-1})(x)=f[f^{-1}(x)]](https://tex.z-dn.net/?f=%28fof%5E%7B-1%7D%29%28x%29%3Df%5Bf%5E%7B-1%7D%28x%29%5D)
= ![[-6(\frac{\sqrt{x}+8}{6})-8]^{2}](https://tex.z-dn.net/?f=%5B-6%28%5Cfrac%7B%5Csqrt%7Bx%7D%2B8%7D%7B6%7D%29-8%5D%5E%7B2%7D)
= ![[-\sqrt{x}+8-8]^2](https://tex.z-dn.net/?f=%5B-%5Csqrt%7Bx%7D%2B8-8%5D%5E2)
= ![(-\sqrt{x})^2](https://tex.z-dn.net/?f=%28-%5Csqrt%7Bx%7D%29%5E2)
= x
Therefore, ![(fof^{-1})(x)=x](https://tex.z-dn.net/?f=%28fof%5E%7B-1%7D%29%28x%29%3Dx)
Binomial with degree of 3
Answer:
Step-by-step explanation:
if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.
<h2>INVERSE VARIATION</h2>
<em>E</em><em>Q</em><em>U</em><em>A</em><em>T</em><em>I</em><em>O</em><em>N</em><em>:</em><em> </em><em> </em><em> </em><em> </em>
![y = \frac{k}{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7Bk%7D%7Bx%7D%20)
<em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em>
First, find the constant of variation <em>k</em> using the formula k=xy.
![23 = \frac{k}{8}](https://tex.z-dn.net/?f=23%20%3D%20%20%5Cfrac%7Bk%7D%7B8%7D%20)
![k = (8)(23)](https://tex.z-dn.net/?f=k%20%3D%20%288%29%2823%29)
![k = 184](https://tex.z-dn.net/?f=k%20%3D%20184)
<em>–</em><em>–––––––</em>
Then, find <em>y</em> if <em>x</em> is equal to four using the formula y=184/x.
![y = \frac{184}{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B184%7D%7Bx%7D%20)
![y = \frac{184}{4}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B184%7D%7B4%7D%20)
![y = 46](https://tex.z-dn.net/?f=y%20%3D%2046)
<em>F</em><em>i</em><em>n</em><em>a</em><em>l</em><em> </em><em>A</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em>:</em>
<h2>y = 46</h2>
Here are the answers you were looking for:
A) Yes
B) No
C) No