The functions f and g are defined as f(x) = 5x – 2 and g(x) = - 7x². f and a) Find the domain of f, g, f+ g, f-g, fg, ff, g f b) Find (f+ g)(x), (f– g)(x), (fg)(x), (ff)(x), (x), and (x).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The functions f and g are defined as f(x)= 5x – 2 and g(x)= - 7x.
f
g.
and
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),
(х), and
(x).
f
(Type your answer in interval notation.)
2
The domain of
(x) is
f
(Type your answer in interval notation.)
b) (f+ g)(x) = - 7x+5x-2 (Simplify your answer.)
%3D
(f-g)(x) =
(Simplify your answer.)
Transcribed Image Text:The functions f and g are defined as f(x)= 5x – 2 and g(x)= - 7x. f g. and 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), (х), and (x). f (Type your answer in interval notation.) 2 The domain of (x) is f (Type your answer in interval notation.) b) (f+ g)(x) = - 7x+5x-2 (Simplify your answer.) %3D (f-g)(x) = (Simplify your answer.)
Expert Solution
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The given functions are f(x)=5x-2  &  g(x)=-7x2

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