ƒ (x) = (x8 – 2x) g(x) = (x² + 6x h(x) = 2x - 11 m(x) = f(x) g(x) n (x) g(x) h(x) m' (-1) = n' (6)= − 1 x - 71)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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The Fifth Gate
After traversing your continuous path, you finally arrive at Gate 5. Your computer reads the gate's directions to
you. "The passcode for this gate is the number found by first entering m' (-1) and then entering n' (6) using
the definitions below." What values do you provide to your computer?
ƒ (x) = (x8 – 2x)
2
(x²
g(x) =
h(x)=
m (x)
n (x)
= 2x 11
=
+ 6x -
f(x) · g(x)
g(x)
h(x)
m' (-1)
- 71)
=
n' (6) =
Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain
using calculus concepts to best support the work of the game design team.
Transcribed Image Text:0 point The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer reads the gate's directions to you. "The passcode for this gate is the number found by first entering m' (-1) and then entering n' (6) using the definitions below." What values do you provide to your computer? ƒ (x) = (x8 – 2x) 2 (x² g(x) = h(x)= m (x) n (x) = 2x 11 = + 6x - f(x) · g(x) g(x) h(x) m' (-1) - 71) = n' (6) = Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus concepts to best support the work of the game design team.
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