How to solve this?

Question

Find f(x-1) when f(x)=3x^2+3x+2

1.) -3x+3x+2

2.) 3x^2 -3+8

3.) none of these

4.) 3x^2 -3x+2

5.) 3x^2 +9x +8

Answer 1

If f(x)=3x²+3x+2,

then f(x-1)=3(x-1)²+3(x-1)+2.

Simplify this by squaring the first term out, then distributing.

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

Combine like terms and get your answer.