algebra question expression for F(X)

Posted on 2012-09-10
Last Modified: 2012-09-11
I'm trying to understand how to get this answer.  
If f(3b-1) = 9b-1, find one possible expression for f(x).  The sample answer is f(x)=3x+2.

Not sure the logic to get to the answer.  Thanks for any help.  I apologize if this is the wrong forum.
Question by:javierpdx
    LVL 10

    Accepted Solution

    If you set x=3b-1 then b=(x+1)/3. Now replace b on the every occasion in the equation:
    So f(x)=9* ((x+1)/3) -1=3(x+1)-1=3x+2

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