(a) Explanation Definition used: Inverse of a function: If the function f is applied to an input x that gives the output y , then applying its inverse function g to y gives the output x and vice versa. Mathematically, f ( x ) = y if and only if g ( y ) = x . Calculation: The given function is f ( x ) = 1.6249 x , where x is the number of U.K pounds and f ( x ) is the number of U.S dollars. The inverse of the function is evaluated as follows. Replace f ( x ) with y in the function f ( x ) = 1.6249 x as, y = 1.6249 x (b) To determine The amount of money a person will have if 1000 U.S dollars is converted to U K. pounds and the converting them back to U.S dollars.

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

5th Edition

ISBN: 9780134179025

Author: Ronald J. Harshbarger, Lisa S. Yocco

Publisher: PEARSON

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Chapter 4.3, Problem 51E

(a)

To determine

To find: The inverse of the function f(x)=1.6249x and interpret its meaning.

(b)

To determine

The amount of money a person will have if 1000 U.S dollars is converted to U K. pounds and the converting them back to U.S dollars.

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Chapter 4.3, Problem 50E

Chapter 4.3, Problem 52E

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Chapter 4 Solutions

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

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The inverse of the function f ( x ) = 1.6249 x and interpret its meaning.

Solution Summary: The author calculates the inverse of the function f(x)=1.6249x, where x is the number of U.K pounds, and y is