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Evaluate and simplify the following function:

f(x) = 3x2 - 2x -3
f(x-1) = 
 
I would really appreciate the steps and final outcome of this problem. Thank you! 

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William S. | Experienced scientist, mathematician and instructor - WilliamExperienced scientist, mathematician and...
4.4 4.4 (10 lesson ratings) (10)
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Dear Katelyn,
 
I'm not sure I understand this perfectly, but I think what you want is
 
f(x-1) = 3*(x - 1)2 - 2*(x - 1) - 3 = 3(x2 -2x + 1) - 2x + 2
 
f(x-1) = 3x2 -6x +3 -2x + 2 = 3x2 - 8x + 5
 
 

Comments

Thank you, William! Only thing missing was the -3 at the end, so I found the answer to actually be 3x2-8x+2. But I now I understand how to find the solution, so thank you for that!