Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Asymptote is the value at which the function DOESN'T have a value.
There is NO VALUE for log 0. So, which number makes log 0??
[tex]x+3\neq 0\\x\neq -3[/tex]
Hence, x CANNOT be -3. The value of -3 will make this log 0.
Thus, the vertical asymptote will be at [tex]x=-3[/tex]
Answer:
The required vertical asymptote of the given function f(x) = 3 log(x + 3) is given by : x = -3
Step-by-step explanation:
The function is given to be f(x) = 3 log(x + 3)
We need to find the vertical asymptote of the given function f(x) = 3 log(x + 3)
Now, The vertical asymptote of the function is determined by finding the point where the value of the function is not defined.
We know, log x is not defined for x = 0
So, to find vertical asymptote of the given function f(x)
Take, x + 3 = 0
⇒ x = -3
So, This is the required vertical asymptote of the given function f(x) = 3 log(x + 3)
