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For what real values of a is the expression (a + 3)/(a^3 - a) undefined? List your answers in increasing order separated by commas.

 Apr 14, 2022
 #1
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0

When the denominator is = 0 it is undefined

 

a^3 - a = 0

a^3 = a

a^2 = a

a = ±1

 Apr 14, 2022
 #2
avatar+578 
+3

This is when the expression has to equal (a + 3)/0

 

a^3 - a  =  0   =   a(a+1)(a-1)

 

So it's undefined when a is -1 and 1.

 

-Vinculum

smileysmileysmiley

 Apr 14, 2022
 #3
avatar+23198 
+1

It's also undefined when a = 0,

 Apr 14, 2022

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