SOLUTION: This involves solving an equation by factoring: If g(x) = 4x - 17 and f(x) = 2x^2 + x + 1 What is 2f(-4) * g(6)? Here is my work: f(-4) = 2 (-4)^2 + -4 + 1 = 29

Question 389654: This involves solving an equation by factoring:
If g(x) = 4x - 17 and f(x) = 2x^2 + x + 1
What is 2f(-4) * g(6)?
Here is my work: f(-4) = 2 (-4)^2 + -4 + 1 = 29
f(-4) = 2 (-4)^2 + -4 + 1 = 29
= 2 * 29 = 58

g(6) = 4(6) - 17 = 7
58 * 7 = 406 [My answer is 406.]
I did this work all by myself. I simply need someone to check my work and my answer. I am unsure whether I did this correctly.

Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
This is what I got:
Repost if you need more help:
g(x)=4x-17_f(x)=2x^(2)+x+1_2f(-4)*g(6)
Evaluate f(-4(6) by replacing x with -4(6 in the function.
f(-4(6)=2(-4(6)^(2)+(-4(6)+1
Simplify the evaluated function.
f(-4(6)=-334
Compose the result function for 2f by replacing the function designators with the actual functions.
2(-334)
Multiply 2 by each term inside the parentheses.
-668
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