The functions f and g are defined as f(x) = - 5 , g(x)= X+3' a) Find the domain of f, g, f+g, f-g, fg, ff, g b) Find (f+g)(x), (f-g)(x), (fg)(x), (ff)(x), a) The domain of f is (Type your answer in interval notation.) The domain of g is (Type your answer in interval notation.) The domain off+g is (Type your answer in interval notation.) The domain off-g is. (Type your answer in interval notation.) The domain of fg is. (Type your answer in interval notation.) The domain of ff is (Type your answer in interval notation.) The domain of is g (Type your answer in interval notation.) The domain of /Tune your answer in interval notation l () g 14/ and 1 -4-x (x), and *(7)(*).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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18.1

The functions f and g are defined as f(x) =
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),
a) The domain of f is.
(Type your answer in interval notation.)
The domain of g is.
(Type your answer in interval notation.)
The domain off + g is
(Type your answer in interval notation.)
The domain off-g is
(Type your answer in interval notation.)
The domain of fg is
(Type your answer in interval notation.)
The domain of ff is.
(Type your answer in interval notation.)
The domain of
f
is
g
(Type your answer in interval notation.)
g
The domain of is
/Tune your onewer in interval notation I
5
x + 3
, g(x) =
19/14.4
and
g
1
4-x
(x), and
¹(7) «
(x).
(...)
Transcribed Image Text:The functions f and g are defined as f(x) = 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), a) The domain of f is. (Type your answer in interval notation.) The domain of g is. (Type your answer in interval notation.) The domain off + g is (Type your answer in interval notation.) The domain off-g is (Type your answer in interval notation.) The domain of fg is (Type your answer in interval notation.) The domain of ff is. (Type your answer in interval notation.) The domain of f is g (Type your answer in interval notation.) g The domain of is /Tune your onewer in interval notation I 5 x + 3 , g(x) = 19/14.4 and g 1 4-x (x), and ¹(7) « (x). (...)
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