# Thread:

1. ## Domain Problem

What's the domain of G(t) = ln(t^4-1)?

How did you get the answer, the answer in the book says that it's (-infinity, -1) union (1, infinity) but I don't really understand why.

2. For $x \in \left[ { - 1,1} \right]\quad \Rightarrow \quad \ln \left( {x^4 - 1} \right) \mbox{ is meaningless!}$

3. Originally Posted by Plato
For $x \in \left[ { - 1,1} \right]\quad \Rightarrow \quad \ln \left( {x^4 - 1} \right) \mbox{ is meaningless!}$
What?

4. Originally Posted by dm10
What?
dn10, you have a very hard road of learning ahead of you if you truly want to understand this material.
You should pay more attention to basic definitions.
Of course, if you could care less then forget it.

5. $t^{4}-1=\left( t^{2}+1 \right)\left( t^{2}-1 \right)>0,$ this last 'cause logarithm is defined for numbers greater than zero. Hence, it remains to solve $t^2-1>0$ which gives the expected answer.
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