Answer:
15y / 8
Step-by-step explanation:
Multiplying by 2 to get the common denominator.
3y / 4 * 2 = 6y / 8
Combine like terms.
6y / 8 + 9y / 8
Final Answer:
15y / 8
Answer:
y = x² - 8x + 17
Step-by-step explanation:
Recall this formula:
y = a(x-h)² + k
Original equation was y = x², which in this form looks like
y = 1(x - 0)² + 0
If the shape of the graph didn't change, that means that a (the compressor/intensifier) stayed the same (a - value) meaning we can write the equation as..
y = (x-h)² + k
Remember, (h, k) is the vertex, which looking from your graph is at (4, 1)
y = (x - 4)² + 1
y = x^2- 8x + 16+1
y = x² - 8x + 17
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:
Thnx
Step-by-step explanation:
have a great day
Answer:
I don't seem to be so sure, but according to what i did the answer is A