SOLUTION: I need help with this problem: Let f(x)=2x^2-4x+1 and g(x)=3x+2. Determine (gof)(1). Thank you very much.

Algebra ->  Functions -> SOLUTION: I need help with this problem: Let f(x)=2x^2-4x+1 and g(x)=3x+2. Determine (gof)(1). Thank you very much.      Log On


   

Question 454649: I need help with this problem:
Let f(x)=2x^2-4x+1 and g(x)=3x+2. Determine (gof)(1).

Thank you very much.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)=2x^2-4x+1 and g(x)=3x+2. Determine (gof)(1)
(gof)(x)=g[f(x)]=g(2x^2-4x+1)
=3(2x^2-4x+1)+2
=6x^2-12x+3+2
=6x^2-12x+5
(gof)(1)=6-12+5=-1