Find the domain of the function. $$ f(x)=\log _{6}(x+9) $$ The domain of $$ f $$ is (Type your answer in interval notation.)

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The domain of $$ f $$ is $$(-9, \infty)$$. To find the domain of the function $$ f(x) = \log_{6}(x + 9) $$, we need to determine the values of $$ x $$ for which the argument of the logarithm is positive. The argument of the logarithm is $$ x + 9 $$. We set up the inequality: $$ x + 9 > 0 $$ Solving this inequality: $$ x > -9 $$ Thus, the domain of the function $$ f(x) $$ is all values of $$ x $$ that are greater than $$-9$$. In interval notation, this is expressed as: $$ (-9, \infty) $$ Therefore, the domain of $$ f $$ is: $$ \boxed{(-9, \infty)} $$

Find the domain of the function. \( f(x)=\log _{6}(x+9) \) The domain of \( f \) is (Type your answer in interval notation.)

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Find the domain of the function. \( f(x)=\log _{6}(x+9) \) The domain of \( f \) is (Type your answer in interval notation.)

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