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f(x)= 3x+7

g(x)=?

h(x)=3x+7/3x+9

(gof)(x)=3x+7/3x+9

(goh)(x)=...?

 

(i think g(x) = x/x+2....)

 

pls help me.. thank you

 Mar 2, 2018
 #1
avatar+94526 
+1

You are correct, g(x)  =  x  / [ x + 2]

 

So

 

(g ° h) x  =     g ( h(x))   =   

 

[ (3x + 7) / (3x + 9) ]  /  [ (3x + 7) / (3x + 9) + 2  ]   =

 

[ (3x + 7)/ (3x+9) ]  /  [   ( 2 (3x + 9) + (3x + 7) )  /  (3x + 9) ]  =

 

[ (3x + 7)/ (3x + 9) ]  /  [ (9x + 25) / (3x + 9) ]  =

 

3x + 7               3x + 9

_______   *      _______

3x + 9               9x + 25

 

 

  3x + 7

_______

  9x + 25

 

 

cool cool cool

 Mar 2, 2018

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