Functions can be represented by equations and graphs
- There are 2 million users online at 9 am
- The domain is [0,23], while the range is [2,
)
<h3>The number of users at 9am</h3>
The function is given as:
![g(x) = \frac 14\sqrt[3]{x - 3} + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%2014%5Csqrt%5B3%5D%7Bx%20-%203%7D%20%2B%202)
At 9am, x = 9.
So, we have:
![g(x) = \frac 14\sqrt[3]{9 - 3} + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%2014%5Csqrt%5B3%5D%7B9%20-%203%7D%20%2B%202)
Evaluate the difference
![g(x) = \frac 14\sqrt[3]{6} + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%2014%5Csqrt%5B3%5D%7B6%7D%20%2B%202)
Evaluate the exponent


Evaluate the sum

Approximate

Hence, there are 2 million users online at 9 am
<h3>The function transformation</h3>
We have:
![g(x) = \frac 14\sqrt[3]{x - 3} + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%2014%5Csqrt%5B3%5D%7Bx%20-%203%7D%20%2B%202)
The parent function is:
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
So, the transformations applied to the parent function are:
- Vertical compression by a scale factor of 4
- Horizontal shift to the right by 3 units
- Vertical shift up by 2 units
<h3>The domain and the range</h3>
The domain is the possible input values, and the range are the possible output values.
There are 24 hours in a day.
So, the domain is:
Domain = [0,23]
While the range is [2,
)
Read more about function transformation at:
brainly.com/question/1548871
Answer:



<h3>Hope this helps u... ^_^</h3>
They are congruent. Distance formula works.
2(-3n-5)-5(4n-8)
(-6n-10)+(-20n+40)
-26n-30