Answer: $66
Step-by-step explanation:
Hopefully this helped!
This question can be solved by using the mid point formula.
-2x+1=-x^2+4
X^2 - 2X + 1 - 4 =0
X^2-2X-3=0
discriminant= (-2)^2 - 4(-3)(1)
=16
D1 = {-(-2)+√16}/2
D1=(2+4)/2
=6/2
D1=3.
D2={-(-2)-√16}/2
=(2-4)/2
=-2/2
D2= -1
the solutions are {-1 ; 3 }
so A) x= -1,3
Answer:
![f(g(x))=-30x-21](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D-30x-21)
The domain is all real numbers
Step-by-step explanation:
we have
![f(x)=-6x+3](https://tex.z-dn.net/?f=f%28x%29%3D-6x%2B3)
![g(x)=5x+4](https://tex.z-dn.net/?f=g%28x%29%3D5x%2B4)
we know that
![(fog)(x)=f(g(x))](https://tex.z-dn.net/?f=%28fog%29%28x%29%3Df%28g%28x%29%29)
In the function f(x) substitute the variable x by the function g(x)
so
![f(g(x))=-6(5x+4)+3](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D-6%285x%2B4%29%2B3)
![f(g(x))=-30x-24+3](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D-30x-24%2B3)
![f(g(x))=-30x-21](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D-30x-21)
This is a linear function (equation of a line)
The domain is all real numbers
3 divided by 8 =0.375, 1 divided by 16=0.0625