What is the vertical asymptote of the function f(x) = 3 log(x + 3) is x?
2 answers:
Hello,
![\lim_{x \to -3} 3 log(x+3) =-\infty](https://tex.z-dn.net/?f=%20%5Clim_%7Bx%20%5Cto%20-3%7D%203%20log%28x%2B3%29%20%3D-%5Cinfty)
x=-3 is the vertical asymptote.
<h2>
Answer:</h2>
The vertical asymptote of the function f(x) the vertical asymptote of the function f(x) is :
x= -3
<h2>
Step-by-step explanation:</h2>
The vertical asymptote of the logarithmic function are the possible value of the x where the function tends to infinity.
i.e. ![\lim_{x \to ?} f(x)\to \infty](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%3F%7D%20f%28x%29%5Cto%20%5Cinfty)
Here we have the function f(x) as:
![f(x)=3\log (x+3)](https://tex.z-dn.net/?f=f%28x%29%3D3%5Clog%20%28x%2B3%29)
so when x= -3
we have:
![f(x)=3\log (-3+3)\\\\i.e.\\\\f(x)=3\log (0)\\\\i.e.\\\\f(x)\to \infty](https://tex.z-dn.net/?f=f%28x%29%3D3%5Clog%20%28-3%2B3%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cf%28x%29%3D3%5Clog%20%280%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cf%28x%29%5Cto%20%5Cinfty)
Hence, we get the vertical asymptote is: x= -3
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