Answer:
f(g(x)) =
![\sqrt{8x \: - \: 13} \: + \: 9](https://tex.z-dn.net/?f=%20%5Csqrt%7B8x%20%5C%3A%20%20-%20%20%5C%3A%2013%7D%20%20%5C%3A%20%20%2B%20%20%5C%3A%209)
Step-by-step explanation:
f(x) =
![\sqrt{x} \: + \: 9](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20%20%5C%3A%20%20%2B%20%20%5C%3A%209)
g(x) = 8x - 13
f(g(x) =
![\sqrt{8x \: - 13} \: + \: 9](https://tex.z-dn.net/?f=%20%5Csqrt%7B8x%20%5C%3A%20%20-%2013%7D%20%20%5C%3A%20%20%2B%20%20%5C%3A%209)
Answer:
42:36
=42/36
=(7*6)/(6*6)
=7/6
Step-by-step explanation:
I’m pretty sure it’s the first one cause it’s half of the 6 blocks
The function that models the graph is given as:![f(x)=\left \{ {{-\frac{1}{3}x+\frac{4}{3} \ \ -8 < x < 2} \atop {-x^2+6\ \ -2 < x < 0}} \atop {6\ \ 0 < x < 4}, \ \ x+2\ \ 4 < x < 7 \right.](https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%20%5C%7B%20%7B%7B-%5Cfrac%7B1%7D%7B3%7Dx%2B%5Cfrac%7B4%7D%7B3%7D%20%20%5C%20%5C%20-8%20%3C%20x%20%3C%202%7D%20%5Catop%20%7B-x%5E2%2B6%5C%20%5C%20-2%20%3C%20x%20%3C%200%7D%7D%20%5Catop%20%7B6%5C%20%5C%200%20%3C%20x%20%3C%204%7D%2C%20%5C%20%5C%20x%2B2%5C%20%5C%20%204%20%3C%20x%20%3C%207%20%5Cright.)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
The equation shown in the graph represents a piecewise function. Hence:
From the line through the point (-8, 4) and (-2, 2), the equation is f(x) = -(1/3)x + 4/3
From the curve through the point (-2, 2) and (0, 6), the equation is f(x) = -x² + 6
From the line through the point (0, 6) and (4, 6), the equation is f(x) = -6
From the line through the point (4, 6) and (7, 9), the equation is f(x) = x + 2
The function that models the graph is given as:![f(x)=\left \{ {{-\frac{1}{3}x+\frac{4}{3} \ \ -8 < x < 2} \atop {-x^2+6\ \ -2 < x < 0}} \atop {6\ \ 0 < x < 4}, \ \ x+2\ \ 4 < x < 7 \right.](https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%20%5C%7B%20%7B%7B-%5Cfrac%7B1%7D%7B3%7Dx%2B%5Cfrac%7B4%7D%7B3%7D%20%20%5C%20%5C%20-8%20%3C%20x%20%3C%202%7D%20%5Catop%20%7B-x%5E2%2B6%5C%20%5C%20-2%20%3C%20x%20%3C%200%7D%7D%20%5Catop%20%7B6%5C%20%5C%200%20%3C%20x%20%3C%204%7D%2C%20%5C%20%5C%20x%2B2%5C%20%5C%20%204%20%3C%20x%20%3C%207%20%5Cright.)
Find out more on equation at: brainly.com/question/2972832
#SPJ1