How do you find the domain of ln(x24)?

1 Answer
Dec 8, 2016

The domain of f(x) is (,2)(+2,+)

Explanation:

f(x)=ln(x24)

Since lnx is defined for x>0
f(x) is defined for x24>0

Hence: f(x) is defined for |x|>2

The domain of a function is the set of input values (x) for which the function f(x) is defined.

Therefore the domain of f(x) in this example is: (,2)(+2,+)

This can be seen by the graph of f(x) below.
graph{ln(x^2-4) [-10, 10, -5, 5]}