# How do you find the domain and range of log(x-9)?

Domain: $x > 9 \mathmr{and} \left(9 , \infty\right)$
The range of $y$ is all of $\mathbb{R} \mathmr{and} \left(\infty , \infty\right)$
$y = \log \left(x - 9\right)$. Domain: $x - 9 > 0 \mathmr{and} x > 9 \mathmr{and} \left(9 , \infty\right)$
Range : As $x$ approaches closer and closer to 9 from right, $y$ gets more and more negative. So Range is all real numbers i.e $\left(\infty , \infty\right)$ graph{log(x-9) [-40, 40, -20, 20]} [Ans]