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How is the domain of a trigonometric function restricted so that its inverse function is defined?

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The graph of  f(x)=tanx ____________. Therefore, a domain restriction must be placed on the function for the inverse function to be defined. The domain restriction placed on f(x)=tanx is ____________ so that its inverse function is defined.

 

 

Does not pass the vertical line test

passes the horizontal line test

is not one to one

 

 

(-\pi/2,pi/2)

[-\pi/2,pi/2]

(0,pi/2)

[0,pi/2]

(0,pi)

[0,pi]

 
 Mar 2, 2021

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