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?For the following exercises, use a graph to determine whether the functions are the

Chapter 9, Problem 41

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QUESTION:

For the following exercises, use a graph to determine whether the functions are the same or different. If they are the same, show why. If they are different, replace the second function with one that is identical to the first. (Hint: think 2x = x + x. )

\(f(x)=\tan (-x), g(x)=\frac{\tan x-\tan (2 x)}{1-\tan x \tan (2 x)}\)

Text Transcription:

f(x) = tan(−x), g(x) = tan x - tan (2x) / 1 - tan x tan(2x)

Questions & Answers

QUESTION:

For the following exercises, use a graph to determine whether the functions are the same or different. If they are the same, show why. If they are different, replace the second function with one that is identical to the first. (Hint: think 2x = x + x. )

\(f(x)=\tan (-x), g(x)=\frac{\tan x-\tan (2 x)}{1-\tan x \tan (2 x)}\)

Text Transcription:

f(x) = tan(−x), g(x) = tan x - tan (2x) / 1 - tan x tan(2x)

ANSWER:

Step 1 of 3

Given:

Function .

To calculate:

To check if  and  are same or not.

Graph of  is in blue color,

graph of  is in red color:

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