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Definition of Functions

Find the doma...

Question

Find the domains of definition of the following functions.
$y = (\sqrt{x^{2} - 5 x + 24} - x - 2) .$

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Solution

the equation inside root must be positive

therefore $(x^{2} - 5 x + 24) > 0$

which is possible for all values of x therefore the domain is R

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