Verified Answer :

caylus

Hello,

\(\lim_{x \to -3} 3 log(x+3) =-\infty\)
x=-3 is the vertical asymptote.

Answer:

The vertical asymptote of the function f(x) the vertical asymptote of the function f(x) is :

                                   x= -3

Step-by-step explanation:

The vertical asymptote of the logarithmic function are the possible value of the x where the function tends to infinity.

i.e. \(\lim_{x \to ?} f(x)\to \infty\)

Here we have the function f(x) as:

\(f(x)=3\log (x+3)\)

so when x= -3

we have:

\(f(x)=3\log (-3+3)\\\\i.e.\\\\f(x)=3\log (0)\\\\i.e.\\\\f(x)\to \infty\)

Hence, we get the vertical asymptote is: x= -3