Answer:
x y
-8 -2
-1 -1
0 0
1 1
8 2
Step-by-step explanation:
The given function is
![y=\sqrt[3]{x}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx%7D)
We need to find the y-values for the given t-table.
In the given table the x-values are -8, -1, 0, 1, 8.
At x=-8,
![y=\sqrt[3]{-8}=-\sqrt[3]{2^3}=-2](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B-8%7D%3D-%5Csqrt%5B3%5D%7B2%5E3%7D%3D-2)
At x=-1,
![y=\sqrt[3]{-1}=-\sqrt[3]{1^3}=-1](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B-1%7D%3D-%5Csqrt%5B3%5D%7B1%5E3%7D%3D-1)
At x=0,
![y=\sqrt[3]{0}=0](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B0%7D%3D0)
At x=1,
![y=\sqrt[3]{1}=\sqrt[3]{1^3}=1](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B1%7D%3D%5Csqrt%5B3%5D%7B1%5E3%7D%3D1)
At x=-8,
![y=\sqrt[3]{8}=\sqrt[3]{2^3}=2](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B8%7D%3D%5Csqrt%5B3%5D%7B2%5E3%7D%3D2)
Therefore, the required table is:
x y
-8 -2
-1 -1
0 0
1 1
8 2
I think it’s -6 but I would check with someone else too lol
Finding the inverse function of
Remember that when you compose
with its inverse
you'll get the identity function:
![\mathsf{(f\circ f^{-1})(x)=x}\\\\ \mathsf{f\big[f^{-1}(x)\big]=x}\\\\](https://tex.z-dn.net/?f=%5Cmathsf%7B%28f%5Ccirc%20f%5E%7B-1%7D%29%28x%29%3Dx%7D%5C%5C%5C%5C%20%5Cmathsf%7Bf%5Cbig%5Bf%5E%7B-1%7D%28x%29%5Cbig%5D%3Dx%7D%5C%5C%5C%5C)
So if
then
![\mathsf{f\big[f^{-1}(x)\big]=10-[f^{-1}(x)]^2}\\\\ \mathsf{x=10-[f^{-1}(x)]^2}\\\\ \mathsf{[f^{-1}(x)]^2=10-x}\\\\ \mathsf{f^{-1}(x)=\pm \sqrt{10-x}}\\\\ \mathsf{f^{-1}(x)=-\sqrt{10-x}~~~or~~~f^{-1}(x)=\sqrt{10-x}}](https://tex.z-dn.net/?f=%5Cmathsf%7Bf%5Cbig%5Bf%5E%7B-1%7D%28x%29%5Cbig%5D%3D10-%5Bf%5E%7B-1%7D%28x%29%5D%5E2%7D%5C%5C%5C%5C%20%5Cmathsf%7Bx%3D10-%5Bf%5E%7B-1%7D%28x%29%5D%5E2%7D%5C%5C%5C%5C%20%5Cmathsf%7B%5Bf%5E%7B-1%7D%28x%29%5D%5E2%3D10-x%7D%5C%5C%5C%5C%20%5Cmathsf%7Bf%5E%7B-1%7D%28x%29%3D%5Cpm%20%5Csqrt%7B10-x%7D%7D%5C%5C%5C%5C%20%5Cmathsf%7Bf%5E%7B-1%7D%28x%29%3D-%5Csqrt%7B10-x%7D~~~or~~~f%5E%7B-1%7D%28x%29%3D%5Csqrt%7B10-x%7D%7D)
The sign of the inverse depends on the domain of
itself, and where it's invertible.
If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2198197 I hope this helps.
Tags: <em>inverse function definition identity domain algebra</em>
Answer:
A=113.1
Step-by-step explanation:
Answer:
A=P(1+
100
R
)
n
A=10000(1+0.1)
3
=13310
Step-by-step explanation:
please mark me as the brainliest answer and please follow me
