The actual inverse function is:
![f^{-1}(x) = x^2 + 3](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20x%5E2%20%2B%203)
And the domain is [0, ∞).
<h3>
Where is the mistake?</h3>
Remember that for a given function f(x) with a domain D and a range R.
For the inverse function, f⁻¹(x) the domain is R and the range is D.
Here, for the given function the domain is x ≥ 3 and the range is [0, ∞).
Then for the inverse function, which is:
![f^{-1}(x) = x^2 + 3](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20x%5E2%20%2B%203)
(to check this, you must have that):
![f^{-1}(f(x)) = x\\\\f(f^{-1}(x)) = x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28f%28x%29%29%20%3D%20x%5C%5C%5C%5Cf%28f%5E%7B-1%7D%28x%29%29%20%3D%20x)
The domain will be [0, ∞) and the range x ≥ 3
If you want to learn more about inverse functions:
brainly.com/question/14391067
#SPJ1
Answer:
The dependent variable is the final grade in the course and is the vriable of interest on this case.
H0: ![\beta_1 = 0](https://tex.z-dn.net/?f=%5Cbeta_1%20%3D%200)
H1: ![\beta_1 \neq 0](https://tex.z-dn.net/?f=%5Cbeta_1%20%5Cneq%200)
And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.
Step-by-step explanation:
On this case w ehave the following linear model:
![Y= 21.839 +0.724 X](https://tex.z-dn.net/?f=Y%3D%2021.839%20%2B0.724%20X)
Where Y represent the final grade in the course and X the student's homework average. For this linear model the slope is given by
and the intercept is ![\beta_0 = 21.839](https://tex.z-dn.net/?f=%5Cbeta_0%20%3D%2021.839)
Which is the dependent variable, and why?
The dependent variable is the final grade in the course and is the vriable of interest on this case.
Based on the material taught in this course, which of the following is the most appropriate alternative hypothesis to use for resolving this question?
Since we conduct a regression the hypothesis of interest are:
H0: ![\beta_1 = 0](https://tex.z-dn.net/?f=%5Cbeta_1%20%3D%200)
H1: ![\beta_1 \neq 0](https://tex.z-dn.net/?f=%5Cbeta_1%20%5Cneq%200)
And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.
Answer: 17
Step-by-step explanation:
17
Answer:
c
Step-by-step explanation:trust
5s-100-2s=4s-20-2s
3s-100. = 2s-20
+20. +20
3s-80. = 2s
-3s. -3s
-80. = -1s
-1 -1
80. = s
s=80