<span>y^2 + 5y + 6
=</span><span>(y + 2)(y + 3)
----------------------------------</span>
Answer:
Therefore, the original price of the hat is 22.5$.
Answer:
![\sqrt[5]{x - 9}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%20-%209%7D%20)
Step-by-step explanation:
y=x^5+9
To find inverse function make x the subject, first:
y=x^5+9
y - 9 = x^5
x = ![\sqrt[5]{y - 9}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7By%20-%209%7D%20)
![y^{-1} = \sqrt[5]{x - 9}](https://tex.z-dn.net/?f=y%5E%7B-1%7D%20%20%3D%20%5Csqrt%5B5%5D%7Bx%20-%209%7D%20)
so inverse function of y=x^5+9 is ![\sqrt[5]{x - 9}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%20-%209%7D%20)
Get the x terms by themselves on one side and a constant on the other side of the equal sign...
4x^2-8x=1 make the leading coefficient equal to one...
x^2-2x=1/4 now halve the linear coefficient, -2 in this case, square it, and add that value to both sides of the equation...-2/2=-1, -1^2=1 so
x^2-2x+1=1+1/4
x^2-2x+1=5/4 now the left side is a perfect square...
(x-1)^2=5/4 take the square root of both sides...
x-1=±√(5/4) add 1 to both sides
x=1±√(5/4)