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What is the largest possible domain of this question ? F(x)= (x^2-4)/(x^2-x-6)

 Oct 22, 2014

Best Answer 

 #1
avatar+23247 
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The function will be defined for all values of x except those that make the denominator zero.

To find the values that make the denominator zero solve this:  x² - x - 6  =  0.

This can be solved by factoring:  (x - 3)(x + 2)  =  0

Then, either x - 3  =  0 (so x = 3) or x + 2  = 0 (so x = -2).

The domain is all real numbers except 3 and -2.

 Oct 22, 2014
 #1
avatar+23247 
+5
Best Answer

The function will be defined for all values of x except those that make the denominator zero.

To find the values that make the denominator zero solve this:  x² - x - 6  =  0.

This can be solved by factoring:  (x - 3)(x + 2)  =  0

Then, either x - 3  =  0 (so x = 3) or x + 2  = 0 (so x = -2).

The domain is all real numbers except 3 and -2.

geno3141 Oct 22, 2014

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