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A blouse that is size x in country A is size s(x) in country B, where s(x)=x+1. A blouse that is size x in the country B is size t(x) in country C where t(x)=x-4. Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C. 

Guest Oct 2, 2017
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2+0 Answers

 #1
avatar+4806 
+1

For example...a shirt that is size  3  in country  A  is size  3 + 1 = 4  in country  B .

A shirt that is size  4  in country  B  is size  4 - 4 = 0  in country  C .

 

So... a shirt that is size  3  in country  A  is size  0  in country  C .

 

A shirt that is size  x  in country  A  is size  (x + 1) - 4  in country  C .

 

f(x)  =  t( s(x) )  =  t( x + 1 )  =  (x + 1) - 4  =  x - 3

 

f(x)  =  x - 3

hectictar  Oct 2, 2017
 #2
avatar+77221 
+2

Thanks, hectictar......!!!!!!

 

This can also be looked  at  as a composition of functions

 

Where A  = x        B  = x +  1     and C  = x - 4

 

So   

 

( A ° B ° C) =

 

B(C)  =  (x - 4 ) + 1  =  x - 3

 

A ( B(C) ) =   A (x - 3)  =     [ x - 3 ]  is the conversion

 

 

cool cool cool

CPhill  Oct 2, 2017

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