Question

What is the vertical asymptote of the function f(x) = 3 log(x + 3) is x?

Answer 1

Hello,


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

Answer 2

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

x= -3

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