Question

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

Answer 1

The required vertical asymptote of the given function f(x) = 3 log(x + 3) is given by : x = -3

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)

Answer 2

`x=-3`

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??

`x+3\\eq 0\\x\\eq -3`

Hence, x CANNOT be -3. The value of -3 will make this log 0.

Thus, the vertical asymptote will be at
`x=-3`