The functions f and g are defined as f(x) = x³ and g(x)= 7x² +33x - 10. g f a) Find the domain of f, g, f+g, f-g, fg, ff, g (x). b) Find (f+g)(x), (f− g)(x), (fg)(x), (ff)(x), and a) The domain of f is (Type your answer in interval notation.) (x), and (9).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 124E
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Question
K
The functions f and g are defined as f(x) = x³ and g(x) = 7x² + 33x - 10.
a) Find the domain of f, g, f+g, f - g, fg, ff,
b) Find (f+g)(x), (f−g)(x), (fg)(x), (ff)(x),
f
119 and
Q
a) The domain of f is
(Type your answer in interval notation.)
g
d/º
(x), and
(7)
(x).
Transcribed Image Text:K The functions f and g are defined as f(x) = x³ and g(x) = 7x² + 33x - 10. a) Find the domain of f, g, f+g, f - g, fg, ff, b) Find (f+g)(x), (f−g)(x), (fg)(x), (ff)(x), f 119 and Q a) The domain of f is (Type your answer in interval notation.) g d/º (x), and (7) (x).
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