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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.6, Problem 65E

(a)

To determine

The function *f* that models the purchase price of the washing machine as a function of the sticker price *x*.

Expert Solution

The value of the function *f* is

**Given:**

The discount on the washing machines is 10%.

**Calculation:**

The sticker price of washing machine is *x*.

The discount applied on washing machine is 10%.

Since the function *f* is a function that models the purchase price of the washing machine as a function of the sticker price *x*, therefore the function *f* is written as the difference between sticker price and purchase price,

Thus, the value of the function *f* is

(b)

To determine

The function *g* that models the purchase price of the washing machine as a function of the sticker price *x*.

Expert Solution

The value of the function *g* is

**Given:**

The rebate applied on washing machine is

**Calculation:**

Since the function *g* is the function that models the purchase price of the washing machine as a function of the sticker price *x*, therefore the function *g* is written as the difference between sticker price and rebate amount,

Thus, the value of the function *g* is

(c)

To determine

The values of

Expert Solution

The value of

**Given:**

From part (a), the value of function *f* is given below,

From part (b), the value of function *g* is given below,

**Calculation:**

The composite function

From equation (2), substitute

Substitute
*x* in equation (1), to find the value of

Substitute

The purchase price from the composite function

The composite function

From equation (1), substitute

Substitute
*x* in equation (2), to find the value of

Substitute

The purchase price from the composite function

The purchase price from the composite function

Thus, the value of