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I need help with a function problem:

 

Find the range of the function $f(x) = \sqrt{x + 5} + \sqrt{20 + x}.$

 Aug 10, 2023
 #1
avatar+126976 
+1

As small as x can  be is   -5

So....the bottom of the  range =  sqrt ( -5 + 5)  + sqrt (20 + -5) =  sqrt (15)

 

And  the function continues to  infinity no matter how  large the value of x

 

Range  =  [ sqrt (15) , inf)

 

cool cool cool

 Aug 10, 2023

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