Exercise
Determine the domain of the function:
f(x)=\ln (x+2)+\ln (x-3)
Final Answer
Solution
Let’s find the domain of the function:
f(x)=\ln (x+2)+\ln (x-3)
Because there are ln’s, we need the expressions inside the ln’s to be greater than zero:
x+2>0\text{ and }x-3>0
We got two inequalities. We’ll arrange them:
x+2>0 \Longrightarrow x>-2
x-3>0 \Longrightarrow x>3
Intersect both inequalities:
x>-2 \text{ and } x>3 \Longrightarrow x>3
Hence, the domain of the function is
x>3
Have a question? Found a mistake? – Write a comment below!
Was it helpful? You can buy me a cup of coffee here, which will make me very happy and will help me upload more solutions!