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May 19th, 2015, 04:19 AM  #1 
Member Joined: Sep 2014 From: Sweden Posts: 94 Thanks: 0  Find the equation of f. It's equation is f(x) = ax + b
I'll try to explain as well as I can now. You're given the equation: f(x) = ax + b And you have to decide the equation for it using these to equations: f(x+2)f(x) = 3 f(4) = 2b By these two equations it should be possible to get the equation for f which is f(x) = ax + b But how do we do to calculate that. Thanks for help I do really appreciate it! Is this clear enough and not confusing? Or do I need to explain even better? I want to find an equation of the equations above which are: f(x+2)f(x) = 3 f(4) = 2b So that I get an equation like: f(x) = ax + b Examples: f(x) = 2x + 4 f(x) = 4x + 2 Last edited by DecoratorFawn82; May 19th, 2015 at 05:03 AM. 
May 19th, 2015, 06:01 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,929 Thanks: 1124 Math Focus: Elementary mathematics and beyond 
From f(x + 2)  f(x) = 3, a(x + 2) + b ax  b =3, 2a = 3, a = 3/2. From f(4), 4a + b = 2b, b = 4a = 4(3/2) = 6. f(x) = 3/2 * x + 6. 

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