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Find the domain of the function $f(x)=\frac{2x-7}{\sqrt{x^2}} - \sqrt{5x+6-11}$.

 Jan 13, 2024
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The first function  can  take  any x value  except  x  =  0

 

For the second function we have  sart [ [5x - 5 ]

 

5x - 5    must be ≥ 0

 

5x - 5 ≥ 0

 

5x≥ 5

 

x ≥ 1

 

The most restrictive interval is the  second 

 

So....the domain is  [  1 , inf )

 

cool cool cool

 Jan 13, 2024

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