Question 85517
When you are trying to find something like {{{g(x-1)}}}, simply plug {{{x-1}}} in for x like this:


{{{g(x-1)=3(x-1)^2-5(x-1)+2}}} Replace x with {{{x-1}}}


{{{3(x^2-2x+1)-5(x-1)+2}}} Now foil {{{(x-1)^2}}}



{{{3x^2-6x+3-5(x-1)+2}}} Distribute 3



{{{3x^2-6x+3-5x+5+2}}} Distribute -5



{{{3x^2-11x+10}}} Combine like terms


So {{{g(x-1)=3x^2-11x+10}}}