First find f + g, f-g, fg and. Then determine the domain for each function. g f(x) = 4x + 2, g(x)=x+3 (f+g)(x) = (Simplify your answer.)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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First find f + g, f - g, fg and
g
f(x) = 4x + 2, g(x) = x + 3
Then determine the domain for each function.
(f+g)(x) = (Simplify your answer.)
Transcribed Image Text:First find f + g, f - g, fg and g f(x) = 4x + 2, g(x) = x + 3 Then determine the domain for each function. (f+g)(x) = (Simplify your answer.)
Expert Solution
Step 1

The given functions are,

fx=4x+2, gx=x+3

 

As we know from the definition of the composite function.

f+gx=fx+gxf-gx=fx-gxfgx=fxgx

And

The domain of the polynomial function,

fx=a0xn+a1xn-1+a2xn-2+.... is always real number.

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