Explanation Given information: f ( x ) = 5 x + 3 , g ( x ) = x − 3 5 Concept Used: Let f and g are the functions with domain D 1 and D 2 respectively, and range D 2 and D 1 respectively. Then these functions are inverses of each other if g [ f ( x ) ] = x for all x in D 1 And f [ g ( x ) ] = x for all x in D 2 Calculation: In order to determine if the functions f ( x ) = 5 x + 3 , g ( x ) = x − 3 5 are inverses of each other

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.5, Problem 3PS

To determine

To find if the functions

f(x)=5x+3,g(x)=x−35

are inverses of each other

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Chapter 1.5, Problem 2PS

Chapter 1.5, Problem 4PS

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What patterns are shown in this problem and describe whether these patterns can be generalized to all functions and their inverses.

Chapter 1 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

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To find if the functions f ( x ) = 5 x + 3 , g ( x ) = x − 3 5 are inverses of each other

Solution Summary: The author explains how to determine if the functions f(x)=5x+3,gleft (x) =x-35 are inverses.

Videos

To find if the functions

f(x)=5x+3,g(x)=x−35

are inverses of each other

Want to see the full answer?

Chapter 1 Solutions

To find if the functions f ( x ) = 5 x + 3 , g ( x ) = x − 3 5 are inverses of each other

Solution Summary: The author explains how to determine if the functions f(x)=5x+3,gleft (x) =x-35 are inverses.

Videos

To find if the functions f(x)=5x+3,g(x)=x−35 are inverses of each other

Want to see the full answer?

Chapter 1 Solutions

To find if the functions

f(x)=5x+3,g(x)=x−35

are inverses of each other