+0  
 
+1
115
1
avatar+293 

please help need as soon as possible please i really need this one.

 Dec 10, 2020
 #1
avatar+117546 
+2

f(0)  =  we are just  replacing  x with  0  =     sqrt (0)  / (0 + 1)  =  0/1   =  0

 

f(2) =   sqrt (2) /(2 + 1)  =  sqrt (2) / 3

 

f( a + 2) =     sqrt (a+2) / [ (a + 2) + 1  ]  =    sqrt (a + 2)  / ( a + 3)

 

 

Domain

 

We have two things to consider  .....in the  numerator, x   cannot  be   <   0

In the denominator,  x  cannot  = -1   (we would be dividing  by  0 if it were )

 

So  we need to take the most restrictive  domain.....this is   [ 0 , infinity )

 

Avg  rate of  change be between 2  and 10

 

f(10)   =sqrt (10) /(10 + 1)  =  sqrt (10)/ 11

f(2)   =sqrt  ( 2) / (2 + 1)  = sqrt (2) / 3

 

Avg rate of change =   

 

f(10) - f(2)                sqrt (10) /11   +  sqrt (2)/3

_________  =        ______________________  ≈  .0949

   10    - 2                               8

 

 

cool cool cool

 Dec 10, 2020

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