Question

sketch the logarithmic function ( g(x) = log_{\frac{1}{15}} x ). identify three points that lie on the graph, and determine the domain and the equation of any vertical asymptotes. complete parts a. through c.

choose the correct graph.

a.
graph a

b.
graph b

c.
graph c

d.
graph d

b. determine the domain of ( g )
the domain of ( g ) is (square).
(type your answer in interval notation.)

Explanation:

Step1: Recall Logarithm Domain

For a logarithmic function \( g(x) = \log_b x \), the argument \( x \) must be positive. So, \( x > 0 \).

Step2: Write in Interval Notation

The set of all positive real numbers in interval notation is \( (0, \infty) \).

Answer:

\((0, \infty)\)