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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.

 Jan 13, 2024
 #1
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\(f(x) = \frac{(2x + 3)(x - 7)}{\sqrt{x}}\)

 

The domain must be all real numbers except for when \(\sqrt x\) = 0.

 

x can not equal 0, so the answer is (-inf, 0) U (0, inf)

 

Answer: (-inf, 0) U (0, inf)

 Jan 13, 2024

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