Answer:
![(f o g)(x) = 3x + \frac{2}{3}](https://tex.z-dn.net/?f=%28f%20o%20g%29%28x%29%20%3D%203x%20%2B%20%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
We have the function
and we have the function
. We want to find g(x) composed with f(x)
Then, the function (f o g)(x) is the same since f(g(x))
That is, you must do x = g(x) and then enter g(x) into the function f(x).
![f(g(x)) = (g(x)) -\frac{1}{3}](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20%28g%28x%29%29%20-%5Cfrac%7B1%7D%7B3%7D)
![f(g(x)) = (3x + 1) -\frac{1}{3}](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20%283x%20%2B%201%29%20-%5Cfrac%7B1%7D%7B3%7D)
Simplifying, we obtain:
![(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}](https://tex.z-dn.net/?f=%28f%20o%20g%29%28x%29%20%3D%203x%20%2B%201%20-%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%28f%20o%20g%29%28x%29%20%3D%203x%20%2B%20%5Cfrac%7B2%7D%7B3%7D)
Finally. The composite function is:
![(f o g)(x) = 3x + \frac{2}{3}](https://tex.z-dn.net/?f=%28f%20o%20g%29%28x%29%20%3D%203x%20%2B%20%5Cfrac%7B2%7D%7B3%7D)
Answer:
Midpoint: (2, 5)
Step-by-step explanation:
Midpoint Formula: ![(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%20%29)
Simply plug in the coordinates into the formula:
x = (-1 + 5)/2
x = 4/2
x = 2
y = (5 + 5)/2
y = 10/2
y = 5
This is so easy what do u not understand I’ll help dude
It’s 0,2 because to find the y intercept you substitute the 0 for x and you solve for y
Answer:
(x+2.3)^2 + (y) ^2 = (6/7)^2
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 + (y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
(x- -2.3)^2 + (y-0) ^2 = (6/7)^2
(x+2.3)^2 + (y) ^2 = (6/7)^2