f(x) = X √16 + 3x - 4

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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Next, suppose that
and hoping that
f(x) =
will be easier to compute.
To see how this will work for
Since O makes both the numerator and denominator vanish, one of the algebraic methods for
determining
f(x) =
is to factor a out of both the numerator and denominator of f, writing
ch(x)
xg(x)
=
√16 + 3x
f(x) =
lim f(x)
x⇒0
X
-
limx→0
h(x)
g(x)
h(x)
g(x)
X
X
-
-4
2
lim
x-0 16+ 3x - 4
16+ 3x - 4
x = 0,
rationalize the denominator, simplify, and then find the value of
Transcribed Image Text:Next, suppose that and hoping that f(x) = will be easier to compute. To see how this will work for Since O makes both the numerator and denominator vanish, one of the algebraic methods for determining f(x) = is to factor a out of both the numerator and denominator of f, writing ch(x) xg(x) = √16 + 3x f(x) = lim f(x) x⇒0 X - limx→0 h(x) g(x) h(x) g(x) X X - -4 2 lim x-0 16+ 3x - 4 16+ 3x - 4 x = 0, rationalize the denominator, simplify, and then find the value of
8/3
3/4
4/3
3/8
0
Transcribed Image Text:8/3 3/4 4/3 3/8 0
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