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How many real numbers are not in the domain of the function$$f(x) = \frac{1}{x-64} + \frac{1}{x^2-64} + \frac{1}{x^3-64}~?$$

 Aug 3, 2022
 #1
avatar+124596 
+2

No denominator can =  0      .... so.....

 

x - 64 =   0

x =64  is not in the domain

 

x^2  - 64  =0

x^2 =64

x = -8  or x =8     are not in the  domain

 

x^3 - 64  = 0

x^3 =64

x =4 is not in the  domain

 

 

cool cool cool

 Aug 3, 2022

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