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What is the domain of the function f(x)=(x + 6)/sqrt(x^2-3x)?

 Jun 22, 2022
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Any x  that makes the denominator =  0    is not in the domain

 

sqrt (x^2 - 3x)

 

But     x^2  - 3x       must  be > 0

 

So

 

x^2 - 3x  > 0

 

x ( x - 3)  >  0

 

This is true  if    x < 0  or  x > 3

 

So.....the domain is

 

(-inf , 0)  U  (3 , inf)

 

 

cool cool cool

 Jun 22, 2022

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