Evaluate and simplify the following function:

Question

f(x) = 3x² - 2x -3

f(x-1) = 

 

I would really appreciate the steps and final outcome of this problem. Thank you! 

Answer 1

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

 

 

Answer 2

f(x) = 3x² - 2x -3
f(x-1) =3(x-1)²-2(x-1)-3=3(x²-2x+1)-2(x-1)-3=3x²-6x+3-2x+2-3=3x²-8x+2