Answer:
x^2 - 6x + 2
Step-by-step explanation:
(x^2 - x + 4) - (5x + 2)
x^2 - x + 4 - 5x - 2
x^2 - 6x +2
It should be $615.45 , I just subtracted the amount by 5%
For this case we must find the inverse of the following function:
![f (x) = - \frac {1} {2} \sqrt {x + 3}](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%5Csqrt%20%7Bx%20%2B%203%7D)
We follow the steps below:
Replace f(x) with y:
![y = -\frac {1} {2} \sqrt {x + 3}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%20%7B1%7D%20%7B2%7D%20%5Csqrt%20%7Bx%20%2B%203%7D)
We exchange the variables:
![x = - \frac {1} {2} \sqrt {y + 3}](https://tex.z-dn.net/?f=x%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%5Csqrt%20%7By%20%2B%203%7D)
We solve for "y":
![- \frac {1} {2} \sqrt {y + 3} = x](https://tex.z-dn.net/?f=-%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%5Csqrt%20%7By%20%2B%203%7D%20%3D%20x)
Multiply by -2 on both sides of the equation:
![\sqrt {y + 3} = - 2x](https://tex.z-dn.net/?f=%5Csqrt%20%7By%20%2B%203%7D%20%3D%20-%202x)
We raise both sides of the equation to the square to eliminate the radical:
![(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2](https://tex.z-dn.net/?f=%28%5Csqrt%20%7By%20%2B%203%7D%29%20%5E%202%20%3D%20%28-%202x%29%20%5E%202%5C%5Cy%20%2B%203%20%3D%204x%20%5E%202)
We subtract 3 from both sides of the equation:
![y = 4x ^ 2-3](https://tex.z-dn.net/?f=y%20%3D%204x%20%5E%202-3)
We change y by f ^ {- 1} (x):
![f ^ {- 1} (x) = 4x ^ 2-3](https://tex.z-dn.net/?f=f%20%5E%20%7B-%201%7D%20%28x%29%20%3D%204x%20%5E%202-3)
Answer:![f ^ {- 1} (x) = 4x ^ 2-3](https://tex.z-dn.net/?f=f%20%5E%20%7B-%201%7D%20%28x%29%20%3D%204x%20%5E%202-3)
Y=mx+b
b=y intercept, aka where the line crosses theh y axis
m=slope
y intercept=0 since it goest through the y axis at 0
y=mx
we pick a pont
(1,2)
x=2
y=1
sub and find answer
2=m(1)
2=m
the equation is
y=2x
answer id D
B is the answer because it does not give information for the third side. We cannot assume it is equal because it is not a right triangle.