# Math Help - Find the domain of this function?

1. ## Re: Find the domain of this function?

Originally Posted by explodingtoenails
So when would abs bars actually affect the value of a binomial?
using the definition of absolute value (which I recommend you take another look at in your textbook or other resource)

$|x^2 - 4| = x^2 - 4$ if ( $x^2-4) \ge 0$

$|x^2 - 4| = -(x^2 - 4) = 4-x^2$ if $(x^2-4) < 0$

now, which case should be used if $|x^2-4| = 0$ ?

2. ## Re: Find the domain of this function?

Originally Posted by skeeter
using the definition of absolute value (which I recommend you take another look at in your textbook or other resource)

$|x^2 - 4| = x^2 - 4$ if ( $x^2-4) \ge 0$

$|x^2 - 4| = -(x^2 - 4) = 4-x^2$ if $(x^2-4) < 0$

now, which case should be used if $|x^2-4| = 0$ ?
The first case?

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