Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What is the vertical asymptote of the function f(x) = 3 log(x + 3)?
The vertical asymptote of the function f(x) = 3 log(x + 3) is x =
.

Respuesta :

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

Step-by-step explanation:

A symptote is a line that a curve approaches but never touches

  • The vertical asymptote of a logarithmic function is at the zero of the argument
  • f(x) = log(argument) has vertical aymptotes at  argument  = 0

∵ f(x) = 3 ㏒(x + 3)

∵ The argument is (x + 3)

- Equate the argument by zero

∵ x + 3 = 0

- Subtract 3 from both sides

∴ x = -3

- The vertical asymptote of a logarithmic function is at the zero

  of the argument

∴ The vertical asympotote of f(x) is x = -3

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

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

Answer:

-3

Step-by-step explanation:

plato