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What is the smallest real number in the domain of the function g(x) = sqrt((x - 3)^2 - (x - 15)^2)?

 Jun 24, 2022
 #1
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Simplify as

 

sqrt  [  x^2 -6x + 9  - x^2 + 30x - 225 ]  =

 

sqrt [ 24x - 216 ]

 

This will be smallest when  the expression inside the radical =  0......so.....

 

24x  - 216  = 0

 

24x  = 216

 

x  = 216  / 24  =   9

 

The smallest number in the  domain is  x  = 9

 

 

 

 

cool cool cool

 Jun 24, 2022

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