Question

Using the graph of the function g(x) = log3 (x – 4), what are the x-intercept and asymptote of g(x)?

Answer 1

The x-intercept is when y=0, but since $\log_{3}(x-4) \neq 0 \text{ } \forall x$, there is no x-intercept.

The asymptote is when the argument equals 0, which is at x=4.