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What is the smallest real number x in the domain of the function g(x) = sqrt((x - 3)^2 - (x - 18)^2)?

 Jul 21, 2021
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The number x is in the domain when (x - 3)^2 - (x - 18)^2 is non negative.

(x - 3)^2 - (x - 18)^2 >= 0 

(x^2 - 6x + 9) - (x^2 - 36x + 324) >= 0 

30x - 315 >= 0 

30x >= 315

x >= 10.5

 

=^._.^=

 Jul 21, 2021

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