Answer: false
Step-by-step explanation:
ANSWER
![(3, \infty )](https://tex.z-dn.net/?f=%283%2C%20%5Cinfty%20%29)
EXPLANATION
The given function is
![f(x) = \frac{ {x}^{2} - 9}{x - 3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20-%209%7D%7Bx%20-%203%7D%20)
When we plug in x=3 into this function, we obtain,
![f(3) = \frac{0}{0}](https://tex.z-dn.net/?f=f%283%29%20%3D%20%5Cfrac%7B0%7D%7B0%7D%20)
This means that the function is discontinuous at x=3.
We need to simplify the function to obtain,
![f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%28x%20-%203%29%28x%20%2B%203%29%7D%7B%28x%20-%203%29%7D%20)
This implies that,
![f(x) = x + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%2B%203)
The graph this function is a straight line that is continuous everywhere.
To graph
![f(x) = \frac{ {x}^{2} - 9}{x - 3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20-%209%7D%7Bx%20-%203%7D%20)
we draw the graph of
![f(x) = x + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%2B%203)
and leave a hole at x=3.
See diagram in attachment.
Hence the coordinates of hole is
Answer:
D(-5,3) and E(-5,1)
Step-by-step explanation:
|AB|² = (-1-5)² + (-6-2)²
|AB|² = 36 + 64
|AB|² = 100
|AB| = 10
AB/DE = 5
|DE| = 10/5 = 2
D(-5,3) and E(-5,1)
|DE|² = (-5+5)² + (3-1)²
|DE|² = 4
|DE| = 2
Verified
What does this mean buddy?