SOLUTION: Hi, my name is michelle. im working on a midterm review that i have tomorrow at 12. im stuck on a problem. the question states, If {{{ f(x)=x^2 - 3x +2 }}} and g(x)= x+1, eval

Algebra ->  Trigonometry-basics -> SOLUTION: Hi, my name is michelle. im working on a midterm review that i have tomorrow at 12. im stuck on a problem. the question states, If {{{ f(x)=x^2 - 3x +2 }}} and g(x)= x+1, eval      Log On


   

Question 562074: Hi, my name is michelle. im working on a midterm review that i have tomorrow at 12. im stuck on a problem. the question states, If +++f%28x%29=x%5E2+-+3x+%2B2+ and g(x)= x+1, evaluate (f of g)(x) and g (f (x) ) . What type of function is f(x) g(x)? Please help im very confused. so far i have
g(f(x)) ++x%2B1%28x%5E2-3x%2B2%28x%29%29+++
++%28x%5E3-3x%5E2%2B2x%29%28x%2B1%29++
++x%28x%5E2-3x%2B2%29%28x%2B1%29++
am i doing this right?
thank you ahead of time for any time you take out of your day to help. i really appreciate it.
Answer by ad_alta(240) About Me  (Show Source):
You can put this solution on YOUR website!
First: g(f(x))=x^2-3x+2+1=x^2-3x+3
Second: f(g(x))=(x+1)^2-3(x+1)+2=x^2-x
f(x)g(x)= x^3-2x^2-x+2. What type of function is it? I'm not sure exactly what they mean by that, but it is a polynomial for sure.