If f(x) a.f(-x) and -f(x) f (-x) =-2 and g(x) =-, construct the following functions. Edit -f(x) Edit b. 2g(r) and g (2x) 2g(x) 2 Edit g (2x) Edit

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CR: Chapter Review
Problem 89E
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Question
If f(x)
a.f(-x) and -f(x)
f (-x)
=-2 and g(x) =-, construct the following functions.
Edit
-f(x)
Edit
b. 2g(r) and g (2x)
2g(x)
2
Edit
g (2x)
Edit
Transcribed Image Text:If f(x) a.f(-x) and -f(x) f (-x) =-2 and g(x) =-, construct the following functions. Edit -f(x) Edit b. 2g(r) and g (2x) 2g(x) 2 Edit g (2x) Edit
Expert Solution
Step 1

We have given,

Algebra homework question answer, Step 1, Image 1
Step 2

We need to find f(-x) and –f(x)

To find f(-x), we plug x = -x in f(x)

Algebra homework question answer, Step 2, Image 1
Step 3

To find –f(x), we do:

Algebra homework question answer, Step 3, Image 1
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