Answer:
375,400
Step-by-step explanation:
- 3.754*10^5
- 10^5=100,000
- 3.754*100,000
- 375,400
YaYYYY u got it! =)
I'm guessing you're given the function
, and you're asked to find the inverse function
. To do this, swap
and
, then solve for
:
![x=2-y^3\implies y^3=2-x\implies y=(2-x)^{1/3}=\sqrt[3]{2-x}](https://tex.z-dn.net/?f=x%3D2-y%5E3%5Cimplies%20y%5E3%3D2-x%5Cimplies%20y%3D%282-x%29%5E%7B1%2F3%7D%3D%5Csqrt%5B3%5D%7B2-x%7D)
so that the inverse function is
![y^{-1}(x)=\sqrt[3]{2-x}](https://tex.z-dn.net/?f=y%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7B2-x%7D)
Just to verify:
![y(y^{-1}(x))=y(\sqrt[3]{2-x})=2-(\sqrt[3]{2-x})^3=2-(2-x)=x](https://tex.z-dn.net/?f=y%28y%5E%7B-1%7D%28x%29%29%3Dy%28%5Csqrt%5B3%5D%7B2-x%7D%29%3D2-%28%5Csqrt%5B3%5D%7B2-x%7D%29%5E3%3D2-%282-x%29%3Dx)
![y^{-1}(y(x))=y^{-1}(2-x^3)=\sqrt[3]{2-(2-x^3)}=\sqrt[3]{x^3}=x](https://tex.z-dn.net/?f=y%5E%7B-1%7D%28y%28x%29%29%3Dy%5E%7B-1%7D%282-x%5E3%29%3D%5Csqrt%5B3%5D%7B2-%282-x%5E3%29%7D%3D%5Csqrt%5B3%5D%7Bx%5E3%7D%3Dx)
But in case you're actually only interested in computing the square root, first we note that
(the real-valued square root) is only defined as long as
. So
is defined as long as
, or
, or equivalently
. Under this condition, we could write

We can simplify this further, but we have to be careful. Suppose
. Then
. But we get the same result if
, since
. There are two possible values of
that given the same value of
, so to capture both of them, we take
, the absolute value of
. Then

We can't simplify the square root term further than this.
Answer:
Lol i get like that too. This is 10
Step-by-step explanation:
4+5=9
1/2+1/2=1
9+1=10
<span>x^5
____ = x^8
x^-3
[x^5 - (-3) = x^8
i hope this helps</span>