Answer: The value of
is
.
Step-by-step explanation:
Given: ![f(x) = 4x^2 \text { and } g(x) = x+1](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%5E2%20%5Ctext%20%7B%20and%20%7D%20g%28x%29%20%3D%20x%2B1)
To find: ![(f_\circ g)(x)](https://tex.z-dn.net/?f=%28f_%5Ccirc%20g%29%28x%29)
As we know it is composition function which means that g(x) function is in f(x) function.
So we have
![(f_\circ g) (x) = f[g(x)]](https://tex.z-dn.net/?f=%28f_%5Ccirc%20g%29%20%28x%29%20%3D%20%20f%5Bg%28x%29%5D)
![\Rightarrow( f_\circ g)(x)= f(g(x)) = 4(g(x))^2](https://tex.z-dn.net/?f=%5CRightarrow%28%20f_%5Ccirc%20g%29%28x%29%3D%20f%28g%28x%29%29%20%3D%204%28g%28x%29%29%5E2)
Now substitute the value of g(x) we get
![(f_\circ g)(x)= 4(x+1)^2](https://tex.z-dn.net/?f=%28f_%5Ccirc%20g%29%28x%29%3D%204%28x%2B1%29%5E2)
Hence, the value of
is
.
Answer:
M= 0
Step-by-step explanation:
the ys are the same
Answer:
The data in country B are more symmetric than the data in country A.
Step-by-step explanation:
The following information is missing:
<em>The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Average Wind Speeds of Cities in Country A 2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities in country A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities in country B, the whiskers range from 1.2 to 11, and the box ranges from 4 to 9. A line divides the box at 6. Average Wind Speeds of Cities in Country B</em>
Country A
Country B
We can see that the difference between quartile 1 and minimum, median and quartile 1, quartile 3 and median, and maximum and quartile 3 is more homogeneous in Country B than Country A, then Country B is more symmetric.
The key features of
polynomials are the vertex, axis of symmetry, x and y intercepts.
<span>1.
</span>The degree will help you find the end behavior.
<span>2. </span>The vertex shows you where it changes concavity.
<span>3. </span>X and y intercepts give you a couple of points
of reference.
<span>4. </span>Axis of symmetry is only applicable to even
degree polynomials.
I am hoping that these answers
have satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
Answer:
The slope of the a straight line is given by the ratio of the Rise to the Run
of the line. The rise between the given points is zero.
The slope of the line that passes through the points (4, 10) and (1, 10) is zero.
Step-by-step explanation:
The given points are; (4, 10) and (1, 10)
The slope of a line, m, is given by the following formula;
Where;
(x₁, y₁) = (4, 10) and (x₂. y₂) = (1, 10), we get;
The slope of the line that passes through the points (4, 10) and (1, 10) is 0.