Domain Problem

**dm10** · September 22nd 2008, 03:22 PM

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.

**Plato** · September 22nd 2008, 03:35 PM

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

**dm10** · September 22nd 2008, 03:38 PM

Originally Posted by Plato

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

What?

**Plato** · September 22nd 2008, 04:55 PM

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.

**Krizalid** · September 22nd 2008, 05:39 PM

$t^{4}-1=\left( t^{2}+1 \right)\left( t^{2}-1 \right)>0,$ 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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