Explanation Definition Used: Inverse function: Let f be a one-to-one function domain A and range B . Then its inverse function f − 1 has domain B and range A and is defined by f − 1 ( y ) = x ⇔ f ( x ) = y . Property Used: For a one-to-one functionf with domain A and range B and with inverse function f − 1 following properties always holds true. 1. f − 1 ( f ( x ) ) = x for every x in A . 2. f ( f − 1 ( x ) ) = x for every x in B . Horizontal line test: A function is one-to-one if and only if no horizontal line can intersect its graph more than once. It is given that g ( x ) = 3 + x + e x

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 1.5, Problem 17E

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To find: g−1(4) where g(x)=3+x+ex

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Chapter 1.5, Problem 16E

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Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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g − 1 ( 4 ) where g ( x ) = 3 + x + e x

Solution Summary: The author explains that a function is one-to-one if no horizontal line can intersect its graph more than once.

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To find: g−1(4) where g(x)=3+x+ex

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Chapter 1 Solutions