Suppose that the functions f and g are defined as follows. f(x) = 3x² + 5x g(x) = √5x+2 Find f.g and f+g. Then, give their domains using interval notation. (f.g)(x) = Domain of f g : (f+g)(x) = Domain off + g : 010 (0,0) (0,0) OVO (0,0) (0,0) X ∞ -∞ Ś

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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O ALGEBRA
Combining functions: Advanced
Suppose that the functions fand g are defined as follows.
f(x) = 3x² + 5x
g(x) = √5x+2
Find f.g and f+g. Then, give their domains using interval notation.
(ƒ· g)(x) =
Domain of f.g :
(f+g)(x) =
Domain off + g :
010
(0,0) [0,0]
OVO (0,0) (0,0)
X
∞
Ś
·∞
Transcribed Image Text:O ALGEBRA Combining functions: Advanced Suppose that the functions fand g are defined as follows. f(x) = 3x² + 5x g(x) = √5x+2 Find f.g and f+g. Then, give their domains using interval notation. (ƒ· g)(x) = Domain of f.g : (f+g)(x) = Domain off + g : 010 (0,0) [0,0] OVO (0,0) (0,0) X ∞ Ś ·∞
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