Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 6E
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Question
![Let f (x)
4x
and g(x) =
%3D
X + 3
x + 3
Find f + g, f – g, f g, f/g and their domains.
NOTE: Enter DNE in any unused blanks.
(f+ g)(x) =
Domain:
O (-o, a) U (a, b) U (b, ∞)
O(-o, a) U (b, ∞)
O (-0, 0)
O (-o, a) U (a, o)
O(-∞, a] U [b, ∞)
a =
b =
(f-g)(x) =
%3D
Domain:
O (-o, a) U (b, ∞)
O (-o, a) U (a, b) U (b, ∞)
O(-∞, a] U [b, o)
O (-∞, a) U (a, ∞)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56d8c71b-1ffe-4bf8-baa5-73b5cfcf54ad%2F5aeef536-f106-459a-a1b2-4bf21dca0d04%2Fvj2mgok_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f (x)
4x
and g(x) =
%3D
X + 3
x + 3
Find f + g, f – g, f g, f/g and their domains.
NOTE: Enter DNE in any unused blanks.
(f+ g)(x) =
Domain:
O (-o, a) U (a, b) U (b, ∞)
O(-o, a) U (b, ∞)
O (-0, 0)
O (-o, a) U (a, o)
O(-∞, a] U [b, ∞)
a =
b =
(f-g)(x) =
%3D
Domain:
O (-o, a) U (b, ∞)
O (-o, a) U (a, b) U (b, ∞)
O(-∞, a] U [b, o)
O (-∞, a) U (a, ∞)
![a =
b =
(fg)(x) =
Domain:
O (-∞, a) U (a, o)
O (-∞, a] U [b, ∞)
O (-∞, ∞)
O (-∞, a) U (a, b) U (b, ∞)
O (-o, a) U (b, o)
a =
b =
(Don't forget to simplify)
Domain: [Remember to find the domain before simplifying the function.]
O (-0, a] U [b, o)
(-00, a) U (a, o)
O (-o, a) U (b, ∞)
O (-o, a) U (a, b) U (b, ∞)
(-0, 0)
a =
b =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56d8c71b-1ffe-4bf8-baa5-73b5cfcf54ad%2F5aeef536-f106-459a-a1b2-4bf21dca0d04%2Fzz7x1hp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a =
b =
(fg)(x) =
Domain:
O (-∞, a) U (a, o)
O (-∞, a] U [b, ∞)
O (-∞, ∞)
O (-∞, a) U (a, b) U (b, ∞)
O (-o, a) U (b, o)
a =
b =
(Don't forget to simplify)
Domain: [Remember to find the domain before simplifying the function.]
O (-0, a] U [b, o)
(-00, a) U (a, o)
O (-o, a) U (b, ∞)
O (-o, a) U (a, b) U (b, ∞)
(-0, 0)
a =
b =
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