For the function f(x) = 4x² + x f(x + h) = f(x+h)-f(x) h = - 4, evaluate and fully simplify each of the following.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For the function f(x) = 4x² + x − 4, evaluate and fully simplify each of the following.
f(x + h) =
f(x +h)-f(x)
h
=
Transcribed Image Text:For the function f(x) = 4x² + x − 4, evaluate and fully simplify each of the following. f(x + h) = f(x +h)-f(x) h =
Complete the table below. Be sure to simplify your fractions.
X
g(x)
(ƒ - g)(x)
(1)} (x)
9
-5
-4
-2
2
-4
4
7
-3
-3
8
ACT
4
1
-9
2
-11 -17
8
60 00
9
Transcribed Image Text:Complete the table below. Be sure to simplify your fractions. X g(x) (ƒ - g)(x) (1)} (x) 9 -5 -4 -2 2 -4 4 7 -3 -3 8 ACT 4 1 -9 2 -11 -17 8 60 00 9
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The given function is:fx=4x2+x-4We need to evaluate fx+h and fx+h-fxh

 

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