Thread: Using transformations to write a function?
View Single Post
  #3  
Old July 3rd, 2009, 09:34 PM
malaygoel's Avatar
malaygoel malaygoel is offline
Super Member
  
Join Date: May 2006
Location: India
Posts: 640
Country:
Thanks: 38
Thanked 136 Times in 126 Posts
malaygoel has a spectacular aura aboutmalaygoel has a spectacular aura about
Send a message via Yahoo to malaygoel
Default
We can assume that g is a linear transform of f.

hence g=Af+B
where A,B are transformation constants.

Now determine A,B

Spoiler:


g(x)=Af(x)+B

by definition of g,
f(1)=g(1981)=Af(1981)+B
by definition of f
f(1)=122.8(1)+786.2

hence,
Af(1981)+B=122.8(1)+786.2........(1)

Similarly,
Af(1982)+B=122.8(2)+786.2.........(2)

subtracting (1)from (2)
A(f(1982)-f(1981))=122.8
hence, A=1
B=243144

__________________
Keep Smiling
Malay


raah pakad tu ek chala chal, paa jayega madhushala
Reply With Quote
The following users thank malaygoel for this useful post:
Donate to MHF