Answer:
The inverse of the function is
.
Step-by-step explanation:
The function provided is:
![f^{-1}(x)=-\frac{1}{5}\ x-\frac{4}{5}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D-%5Cfrac%7B1%7D%7B5%7D%5C%20x-%5Cfrac%7B4%7D%7B5%7D)
Let us assume that:
![y=f^{-1}(x)](https://tex.z-dn.net/?f=y%3Df%5E%7B-1%7D%28x%29)
Then the equation will be:
![y=\frac{-x-4}{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-x-4%7D%7B5%7D)
To compute the inverse of the function substitute x as y and y as x.
![x=\frac{-y-4}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-y-4%7D%7B5%7D)
Now solve for <em>y</em> as follows:
![x=\frac{-y-4}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-y-4%7D%7B5%7D)
![5x=-y-4](https://tex.z-dn.net/?f=5x%3D-y-4)
![y=-5x-4](https://tex.z-dn.net/?f=y%3D-5x-4)
Thus, the inverse of the function is
.
area of rectangle = L x w
area = 8 sq ft
w= L-2
so 8 = L *L-2
8 = l^2-2l
l^2 -2l-8 = 0
(l-4) (l+2)=0
Length = 4 feet
Width = 2 feet
Answer:
Equilateral ,30-60-90 , opposite the 60 degree angle, 54
Step-by-step explanation:
Answer:
undefined
Step-by-step explanation:
Slope = y - y / x - x
9 - (-1) / -7 - (-7)
= 9 + 1 / -7 + 7
= 10 / 0, undefined.
Cannot divide by zero.
There would be 12 girls and 18 boys. Since the ratio is 2:3, there are 5 parts total (2+3=5) With 30 students, each part equals 6 students (30/5=6) Therefore the two parts that are girls would be 6 x 2, or 12 students, leaving the remainder of students, 18, to be boys