2r - 10 f (x) = 2 – 6.r + 5, g(z) = (a) Determine the domains. Domain of f: o all real numbers o all real numbers except x = 5 o all real numbers except x = -5 o all real numbers except x = 1 o all real numbers except x = -1 o all real numbers except x = 5 and x = 1 all real numbers except x = -5 and x = -1 Domain of g: all real numbers o all real numbers except x = 5 o all real numbers except x = -5 o all real numbers except x = 1 o all real numbers except x = -1 o all real numbers except x = 5 and x = 1 o all real numbers except x = -5 and x = -1 (b) Using factoring, simplify the function f. y = (c) Notice that the functions f and g both have a vertical asymptote at the same location. State this vertical asymptote equation. X = (d) Compare the original functions f and g by completing the table. Express answers as exact fractions if needed. If an answer is u 2 4 f(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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questions A-C are already answered, only need D)

Consider the following.
2r – 10
f (x) =
r² – 6r + 5,
g(z) =
1
(a) Determine the domains.
Domain of f:
all real numbers
o all real numbers except x = 5
all real numbers except x = -5
all real numbers except x = 1
all real numbers except x = -1
all real numbers except x = 5 and x = 1
all real numbers except x = -5 and x = -1
Domain of g:
o all real numbers
all real numbers except x = 5
all real numbers except x = -5
o all real numbers except x = 1
all real numbers except x = -1
all real numbers except x = 5 and x = 1
all real numbers except x = -5 and x = -1
(b) Using factoring, simplify the function f.
y =
(c) Notice that the functions f and g both have a vertical asymptote at the same location. State this vertical asymptote equation.
X =
(d) Compare the original functions f and g by completing the table. Express answers as exact fractions if needed. If an answer is undefined, enter UNDEFINED.
2
4
f(x)
g(x)
Transcribed Image Text:Consider the following. 2r – 10 f (x) = r² – 6r + 5, g(z) = 1 (a) Determine the domains. Domain of f: all real numbers o all real numbers except x = 5 all real numbers except x = -5 all real numbers except x = 1 all real numbers except x = -1 all real numbers except x = 5 and x = 1 all real numbers except x = -5 and x = -1 Domain of g: o all real numbers all real numbers except x = 5 all real numbers except x = -5 o all real numbers except x = 1 all real numbers except x = -1 all real numbers except x = 5 and x = 1 all real numbers except x = -5 and x = -1 (b) Using factoring, simplify the function f. y = (c) Notice that the functions f and g both have a vertical asymptote at the same location. State this vertical asymptote equation. X = (d) Compare the original functions f and g by completing the table. Express answers as exact fractions if needed. If an answer is undefined, enter UNDEFINED. 2 4 f(x) g(x)
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