Question

Find the equation of the vertical asymptote for f(x) = log(x - 4).

a) x = 4
b) x = -4
c) y = 4
d) y = -4

Answer 1

The equation of the vertical asymptote for the function f(x) = log(x - 4) is x = 4, as this is the value that renders the logarithm undefined.

Step-by-step explanation:

The equation of the vertical asymptote of the function f(x) = log(x - 4) is found by identifying the value of x that would make the argument of the logarithm zero since the logarithm is undefined for zero and negative values. In this case, setting the inside of the logarithm to zero, x - 4 = 0, we find that x = 4 is the value where the function is undefined and hence where the vertical asymptote is located.

Therefore, the equation of the vertical asymptote is x = 4.