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), 3 X-2 f - g f g and g(x)=√x-1. and g (x), and 16 g (x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
3
The functions f and g are defined as f(x) =
X-2
f
a) Find the domain of f, g, f+g, f-g, fg, ff, -, and
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.)
g
and g(x)=√x-1.
g
12/14
(x), and
(9)
CO
Transcribed Image Text:3 The functions f and g are defined as f(x) = X-2 f a) Find the domain of f, g, f+g, f-g, fg, ff, -, and 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.) g and g(x)=√x-1. g 12/14 (x), and (9) CO
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