Using the asymptote concept, we have that:
- The vertical asymptote is x = 9.
- The horizontal asymptote is y = 3.
- The end behavior is that as
.
<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
In this problem, the function is:
![f(x) = \frac{3x}{x - 9}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B3x%7D%7Bx%20-%209%7D)
For the vertical asymptote, we have that:
x - 9 = 0 -> x = 9.
For the horizontal asymptote:
![y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3](https://tex.z-dn.net/?f=y%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%20f%28x%29%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%20%5Cfrac%7B3x%7D%7Bx%20-%209%7D%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%20%5Cfrac%7B3x%7D%7Bx%7D%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%203%20%3D%203)
Hence, the end behavior is that as
.
More can be learned about asymptotes at brainly.com/question/16948935
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Answer: The length of segment GT is 6
Step-by-step explanation: Have a nice day!✌️
-3/4x+6 < A < 4x
hope this helps
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