what is the vertical asymptote of the function f(x) = 3 log(x + 3) is x?
Hello,
\(\lim_{x \to -3} 3 log(x+3) =-\infty\)
x=-3 is the vertical asymptote.
The vertical asymptote of the function f(x) the vertical asymptote of the function f(x) is :
x= -3
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