Answer:
<h2>
![(g \: \circ \: f)(0) = 17](https://tex.z-dn.net/?f=%28g%20%5C%3A%20%5Ccirc%20%5C%3A%20f%29%280%29%20%3D%2017)
</h2>
Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
<h3>
![(g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\ = 4(4 {x}^{2} + 16x + 16) + 1 \\ = {16x}^{2} + 64x + 16 + 1](https://tex.z-dn.net/?f=%28g%20%5C%3A%20%5Ccirc%20%5C%3A%20f%29%28x%29%20%3D%204%28%20%28%7B2x%20%2B%204%7D%29%5E%7B2%7D%20%29%20%2B%201%20%5C%5C%20%20%3D%204%284%20%7Bx%7D%5E%7B2%7D%20%20%2B%2016x%20%2B%2016%29%20%2B%201%20%5C%5C%20%20%3D%20%20%7B16x%7D%5E%7B2%7D%20%20%2B%2064x%20%2B%2016%20%2B%201)
</h3>
We have
<h3>
![(g \: \circ \: f)(x) = {16x}^{2} + 64x + 17 \\](https://tex.z-dn.net/?f=%28g%20%5C%3A%20%5Ccirc%20%5C%3A%20f%29%28x%29%20%3D%20%20%7B16x%7D%5E%7B2%7D%20%20%2B%2064x%20%2B%2017%20%5C%5C%20)
</h3>
Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
<h3>
![(g \: \circ \: f)(0) = 16( {0})^{2} + 64(0) + 17 \\](https://tex.z-dn.net/?f=%28g%20%5C%3A%20%5Ccirc%20%5C%3A%20f%29%280%29%20%3D%2016%28%20%7B0%7D%29%5E%7B2%7D%20%20%2B%2064%280%29%20%2B%2017%20%5C%5C%20)
</h3>
We have the final answer as
<h3>
![(g \: \circ \: f)(0) = 17](https://tex.z-dn.net/?f=%28g%20%5C%3A%20%5Ccirc%20%5C%3A%20f%29%280%29%20%3D%2017)
</h3>
Hope this helps you
The answer to this problem is (x,y) = (-4,2)
Answer:
62.5%
Step-by-step explanation:
Total number of animals in a group= 5+3=8 animals
Number of rays=5
Since we only have 5 rays out of the total 8, to express the number of rays as a percentage of the total animals, we divide the number of rays by the total animals then multiply by 100 to express in percentage as needed in the question
Percentage of rays=![\frac {5}{8}\times 100=62.5](https://tex.z-dn.net/?f=%5Cfrac%20%7B5%7D%7B8%7D%5Ctimes%20100%3D62.5)
Therefore, the percentage is 62.5%
The parameter of interest in this scenario is the proportion of all 1,000 students within the school who have "strict" parents or guardians.
<h3>How to calculate a test statistic?</h3>
In Mathematics, the test statistics of a given sample is calculated by using this formula:
![Z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx%5C%3B-%5C%3Bu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
<u>Where:</u>
- is the standard deviation.
In conclusion, a possible test statistic which can be used to estimate this parameter is the proportion of all students who have "strict" parents or guardians, based on the collected sample.
Read more on test statistic here: brainly.com/question/4621112
#SPJ1
f(0) means x = 0
so when x = 0, y = -5
and when x = 4, f(4) is also equal -5 (y = -5)
so f(0) = f(4) = -5
Answer
D) f(4)