Holt Mcdougal Larson Algebra 2: Student Edition 2012

1st Edition

ISBN: 9780547647159

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Expert Solution & Answer

Chapter 3.6, Problem 4MRPS

Solution

a.

To state: The inverse of the function if on a certain day, the function that gives Swedish kronor in terms of U.S. dollars is k=7.463d where k represents kronor and d represents U.S. dollars.

The inverse function is k7.463=d .

Given information:

The given function is k=7.463d .

Calculation:

Write the given equation:

k=7.463d

Divide both sides of the equation by 7.463,

k7.463=7.463d7.463k7.463=d

Therefore, the inverse of the function is k7.463=d .

b.

To state: How many U.S. dollars do you receive or 25 kronor.

For 25 kronor 3.3498 dollars will be obtained.

Given information:

The inverse function from part (a) is k7.463=d . The value of k is 25.

Explanation:

Write the inverse function:

k7.463=d

Now substitute the value of k as 25 in the equation,

d=257.463d=3.3498

Therefore, 3.3498 dollars will be received for 25 kronor.

c.

To state: The inverse function in words.

A function that can be derived from an original function by interchanging the two variables of the original function is known as inverse function.

Given information:

The given statement says explain the meaning of inverse function in words.

Explanation:

Let’s consider a function with input taken as x and output as y , this function can be represented as:

y=fx

In this case the inverse function can be defined as a function derived from the above function where for the input of y gives the output of x and it can be represented as x=f−1y .

Now consider the given problem the given function k=7.463d is used to evaluate the number of kronor for the given U.S. dollars, and the inverse function k7.463=d is used to evaluate the number of U.S. dollars for the given 25 kronor.

Chapter 3.6, Problem 3MRPS

Chapter 3.6, Problem 5MRPS

Chapter 3 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

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Solution Summary: The author states that the inverse function is k7.463=d, where k represents kronor and d represents U.S. dollars.

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Chapter 3 Solutions