Question

give the domain of the logarithmic function function below. Hint: Use transformations to sketch a graph.

Answer 1

We have the function given

$f(x)=1-ln(x+5)$

The graph of the function is given below

From the domain of the function is

$\begin{bmatrix}\mathrm{Solution\colon}\: & \: x>-5\: \\ \: \mathrm{Interval\: Notation\colon} & \: \mleft(-5,\: \infty\: \mright)\end{bmatrix}$