The equation that represents the linear function is y =32x
<h3>What is a linear function?</h3>
The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope
A linear function is represented as:
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
Where
- m represents slope
- c represents the y-intercept
The slope is calculated as:
![m = \frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
So, we have:
![m = \frac{576 - 64}{18-2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B576%20-%2064%7D%7B18-2%7D)
![m = \frac{512}{16}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B512%7D%7B16%7D)
![m = 32](https://tex.z-dn.net/?f=m%20%3D%2032)
The linear equation is then calculated as:
![y =m(x -x_1) + y_1](https://tex.z-dn.net/?f=y%20%3Dm%28x%20-x_1%29%20%2B%20y_1)
So, we have:
![y =32(x -2) + 64](https://tex.z-dn.net/?f=y%20%3D32%28x%20-2%29%20%2B%2064)
![y =32x -64 + 64](https://tex.z-dn.net/?f=y%20%3D32x%20-64%20%2B%2064)
![y =32x](https://tex.z-dn.net/?f=y%20%3D32x)
Hence, the equation that represents the linear function is y =32x
Read more about linear functions at:
brainly.com/question/14323743
(gof)(0) cannot be evaluated
<em><u>Solution:</u></em>
Given that,
![f(x) = \frac{1}{x}\\\\g(x) = x - 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%5C%5C%5C%5Cg%28x%29%20%3D%20x%20-%204)
A composite function is denoted by (g o f) (x) = g (f(x)).
The notation g o f is read as “g of f”
Therefore, let us find whether (gof)(0) can be evaluated or not
To find (gof)(0):
(g o f) (x) = g (f(x))
Now substitute the given value of f(x)
![(g o f) (x) = g(\frac{1}{x})](https://tex.z-dn.net/?f=%28g%20o%20f%29%20%28x%29%20%3D%20g%28%5Cfrac%7B1%7D%7Bx%7D%29)
![\text{ Substitute } x = \frac{1}{x} \text{ in } g(x) = x - 4](https://tex.z-dn.net/?f=%5Ctext%7B%20Substitute%20%7D%20x%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20%5Ctext%7B%20in%20%7D%20g%28x%29%20%3D%20x%20-%204)
![(g o f) (x) = \frac{1}{x} - 4](https://tex.z-dn.net/?f=%28g%20o%20f%29%20%28x%29%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20-%204)
Now to find (gof)(0), substitute x = 0
![(g o f) (x) = \frac{1}{0} - 4](https://tex.z-dn.net/?f=%28g%20o%20f%29%20%28x%29%20%3D%20%5Cfrac%7B1%7D%7B0%7D%20-%204)
Since 1 divided by 0 is undefined, because any number divided by 0 is undefined
(gof)(0) cannot be evaluated
Answer:
Step-by-step explanation:
u/4 + 9.9 = 16.9
Putting value of u = 24 in the equation
24/4 + 9.9 = 16.9
6 + 9.9 = 16.9
15.9 = 16.9
Bringing like terms on one
16.9 - 15.9 = 1