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The domain of the function h(x) = sqrt(25-x^2) + sqrt(-(x-12)) is an interval of what width?

 Jul 6, 2022
 #1
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Simplify as

 

sqrt  ( x^2  - 25)   +  sqrt ( 12 + x)

 

Domain of first  function is  ( inf ,-5]   U  [5 , inf)

Domain of second function  [-12, inf)

 

We have two domain  intervals   =  [ -12 , -5]    U  [5 , inf)

 

The width of the first  = 7

The width of the second is  infinite

 

cool cool cool

 Jul 6, 2022

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