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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.3, Problem 29E

**(a)**

To determine

**To find:** The function

Expert Solution

The sum of the functions

**Given:**

The functions are

**Calculation:**

The sum of the functions

Substitute

Notice that

Since polynomial function is defined on real line, the domain of

Thus,

**(b)**

To determine

**To find:** The function

Expert Solution

The subtraction of functions

**Given:**

The functions are

**Calculation:**

The function

Substitute

Notice that

Since polynomial function is defined on real line, the domain of

Thus,

**(c)**

To determine

**To find:** The function

Expert Solution

The product function

**Given:**

The functions are

**Calculation:**

The product function

Substitute

Notice that

Since polynomial function is defined on real line, the domain of

Thus,

**(d)**

To determine

**To find:** The function

Expert Solution

The quotient function

**Given:**

The functions are

**Calculation:**

The quotient function

Substitute

Thus, the quotient function is defined when the denominator is not equal to 0.

Hence, the function is

That is,

Therefore, the domain of the function is

Thus,