+0  
 
0
61
3
avatar+134 

Hello, can somebody please help me with this question? 

 

https://www.screencast.com/t/g9RN7IhmEQ 

 

 

Thanks! 

Supergirl  Jan 17, 2018

Best Answer 

 #3
avatar+82937 
+2

f(x)  =  4sin(x)  +  6

g(x)   =  3x  +  5

 

Maximize    ( f °  g ) (x)

 

( f ° g) (x )  =     4 sin  ( 3x + 5)  +  6

 

Note that the maximum value  of sine  =  1

 

So......the max value  of   (f ° g)  (x)  =  

 

4 (1)  +   6   =

 

10

 

Note that  g(x)  doesn't really matter.....it's a "red herring"

 

 

cool cool cool

CPhill  Jan 17, 2018
Sort: 

3+0 Answers

 #1
avatar+8983 
+1

Hello, can somebody please help me with this question? 

 

laugh

Omi67  Jan 17, 2018
 #2
avatar+134 
0

Hello and thanks for your response. I have one question though. 

f(x)=4sinx+6 not sin4x+6 wouldn't that make a difference? 

Supergirl  Jan 17, 2018
 #3
avatar+82937 
+2
Best Answer

f(x)  =  4sin(x)  +  6

g(x)   =  3x  +  5

 

Maximize    ( f °  g ) (x)

 

( f ° g) (x )  =     4 sin  ( 3x + 5)  +  6

 

Note that the maximum value  of sine  =  1

 

So......the max value  of   (f ° g)  (x)  =  

 

4 (1)  +   6   =

 

10

 

Note that  g(x)  doesn't really matter.....it's a "red herring"

 

 

cool cool cool

CPhill  Jan 17, 2018

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