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# Domain

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What is the smallest real number x in the domain of the function g(x) = sqrt((x + 3)^2 - (x - 8)^2)?

Jul 28, 2021

#1
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x is in the domain when (x + 3)^2 - (x - 8)^2 is nonegative.

(x + 3)^2 - (x - 8)^2 >= 0

Simplify the inequality. :))

=^._.^=

Jul 28, 2021
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