what is the vertical asymptote of the function y = log(x + 5)? a. x = 1 b. x = 0 c. x = 5 d. x = -5

what is the vertical asymptote of the function y = log(x + 5)? a. x = 1 b. x = 0 c. x = 5 d. x = -5

what is the vertical asymptote of the function y = log(x + 5)? a. x = 1 b. x = 0 c. x = 5 d. x = -5

Answer

Explanation:

Step1: Recall log - function property

The vertical - asymptote of the logarithmic function (y = \log(u)) occurs when (u=0).

Step2: Set the argument equal to zero

For the function (y=\log(x + 5)), set (x + 5=0).

Step3: Solve for (x)

Subtract 5 from both sides of the equation (x+5 = 0), we get (x=-5).

Answer:

D. (x = - 5)