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Let
f(x) = \frac{(2x + 3)(x - 7)}{\sqrt{x}}
Find the domain of f(x). Give your answer using interval notation.

 Apr 3, 2024
 #1
avatar+128794 
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\(\frac{(2x + 3)(x - 7)}{\sqrt{x}} \)

 

The numerator is  defined for  all x

 

The  denominator   cannnot  = 0   and  x  must be > 0

 

So.....the most restrictive interval  of the domain  is

 (0, inf )

 

cool cool cool

 Apr 4, 2024

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