SOLUTION: Let f(x) = 2x^2 - 4x + 1 and g(x) = 3x + 2 and evaluate each of the following: g(f) f[g(0)] f[g(1)]

Algebra ->  Functions -> SOLUTION: Let f(x) = 2x^2 - 4x + 1 and g(x) = 3x + 2 and evaluate each of the following: g(f) f[g(0)] f[g(1)]      Log On


   

Question 35503This question is from textbook
: Let f(x) = 2x^2 - 4x + 1 and g(x) = 3x + 2 and evaluate each of the following:
g(f)
f[g(0)]
f[g(1)] This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
g(x) = 3x + 2
f(x) = 2x^2 - 4x + 1
...............................................................
g(f) = 3(2x^2 - 4x + 1) + 2
g(f) = 6x^2 - 12x + 3 + 2
g(f) = 6x^2 - 12x + 5
................................
f[g(0)]=3(0) + 2=2
f(2)=2(4) - 4(2) + 1=1
................................
f[g(1)]=3(1) + 2=5
f(5)=2(25) - 4(5) + 1 = 50 - 20 + 1 = 31