4The functions f and g are defined as f(x)=X+7 9(x) =6-Xa) Find the domain of f, g, f+ g, f-g, fg, ff,fandfb) Find (f+ g)(x), (f- g)(x). (fg)(x). (M(x). x(x), and(x).a) The domain of f is(Type your answer in interval notation.) 4The functions f and g are defined as f(x) =1g(x) =6-xX+7'a) Find the domain of f, g, f+ g, f-g, fg, f,andb) Find (f+ g)(x), (f- g)(x), (fg)(x), (ff)(x),(x), and(x).a) The domain of f is(Type your answer in interval notation.)

Following results;- f+gx=fx+gx f-gx=fx-gx fgx=fxgx fgx=fxgx

Answered: The functions f and g are defined as…

The functions f and g are defined as f(x)%=D 4 g(x) = %3D X+7 6-x a) Find the domain of f, g, f+g, f-g, fg, ff,- 6. and f 6. b) Find (f+ g)(x), (f- g)(x), (fg)(x). (f)(x). - |x), and (x). g

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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Concept explainers

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

4
The functions f and g are defined as f(x)=
X+7 9(x) =
6-X
a) Find the domain of f, g, f+ g, f-g, fg, ff,
f
and
f
b) Find (f+ g)(x), (f- g)(x). (fg)(x). (M(x). x
(x), and
(x).
a) The domain of f is
(Type your answer in interval notation.)

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

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