Choose the inverse function f − 1 of f ( x ) = 1 2 tan x , − π 2 < x < π 2 f − 1 ( x ) = tan − 1 ( 2 x ) ; − ∞ < x < ∞ f − 1 ( x ) = 2 tan − 1 x ; − ∞ < x < ∞ f − 1 ( x ) = 1 2 tan − 1 x ; − ∞ < x < ∞ f − 1 ( x ) = tan − 1 ( 1 2 x ) ; − ∞ < x < ∞

Pearson eText for Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry -- Instant Access (Pearson+)

4th Edition

ISBN: 9780137399581

Author: Michael Sullivan, Michael Sullivan

Publisher: PEARSON+

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Textbook Question

Chapter 6.1, Problem 14AYU

Choose the inverse function f − 1 of

f ( x ) = 1 2 tan x , − π 2 < x < π 2

f − 1 ( x ) = tan − 1 ( 2 x ) ; − ∞ < x < ∞
f − 1 ( x ) = 2 tan − 1 x ; − ∞ < x < ∞
f − 1 ( x ) = 1 2 tan − 1 x ; − ∞ < x < ∞
f − 1 ( x ) = tan − 1 ( 1 2 x ) ; − ∞ < x < ∞

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Chapter 6.1, Problem 13AYU

Chapter 6.1, Problem 15AYU

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Solution Summary: The author determines the correct choice for the inverse function f-1 from the choices given below.

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