SOLUTION: use {{{g(x)=3x^2-5x+2}}} to find {{{g(x-1)}}}

Algebra ->  Algebra  -> Functions -> SOLUTION: use {{{g(x)=3x^2-5x+2}}} to find {{{g(x-1)}}}      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 85517: use g%28x%29=3x%5E2-5x%2B2 to find g%28x-1%29
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
When you are trying to find something like g%28x-1%29, simply plug x-1 in for x like this:

g%28x-1%29=3%28x-1%29%5E2-5%28x-1%29%2B2 Replace x with x-1

3%28x%5E2-2x%2B1%29-5%28x-1%29%2B2 Now foil %28x-1%29%5E2


3x%5E2-6x%2B3-5%28x-1%29%2B2 Distribute 3


3x%5E2-6x%2B3-5x%2B5%2B2 Distribute -5


3x%5E2-11x%2B10 Combine like terms

So g%28x-1%29=3x%5E2-11x%2B10