SOLUTION: In need of understanding the steps. For the pair of functions, f(x)=2x and g(x)={{{6x^2-2x+2}}} find the following A)fg(x) B)fg(4) C)gf(x) D)gf(4) (do not factor only simplif

Algebra ->  Sequences-and-series -> SOLUTION: In need of understanding the steps. For the pair of functions, f(x)=2x and g(x)={{{6x^2-2x+2}}} find the following A)fg(x) B)fg(4) C)gf(x) D)gf(4) (do not factor only simplif      Log On


   

Question 771040: In need of understanding the steps.
For the pair of functions, f(x)=2x and g(x)=6x%5E2-2x%2B2 find the following
A)fg(x)
B)fg(4)
C)gf(x)
D)gf(4)
(do not factor only simplify)
Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
A) fg%28x%29
=f%28g%28x%29%29
=f%286x%5E2-2x%2B2%29
=2%286x%5E2-2x%2B2%29
=12x%5E2-4x%2B4%29
B) fg%284%29
=12%284%5E2%29-4%284%29%2B4%29
=12%2816%29-4%284%29%2B4%29
=192-16%2B4
=180
C) gf%28x%29
=g%28f%28x%29%29
=g%282x%29
=6%282x%29%5E2-2%282x%29%2B2
=6%284x%5E2%29-4x%2B2
=24x%5E2-4x%2B2
D) gf%284%29
=24%284%5E2%29-4%284%29%2B2
=24%2816%29-4%284%29%2B2
=384-16%2B2
=370