Question

find the domain of the function.
g(x) = \log_{9}(x - 7)

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

Explanation:

Step1: Recall log domain rule

For \( \log_b(u) \), \( u > 0 \).
Here, \( u = x - 7 \), so \( x - 7 > 0 \).

Step2: Solve the inequality

Add 7 to both sides: \( x > 7 \).

Answer:

\((7, \infty)\)