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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.1, Problem 3E

(a)

To determine

The functions which have 5 in their domain.

Expert Solution

The functions which have 5 in their domain are

**Given:**

The given functions are,

**Calculation:**

The set of possible inputs for a function *f* is called the Domain of *f*.

For any real number the function

Therefore, the set of all real number

Since 5 is a real number, therefore 5 is the domain of

For any real number except zero the function

Therefore, the set of all real number except zero

Since 5 is a real number except zero, therefore 5 is the domain of

For any real number greater than and equal to 10 the function

Therefore, the set of all real number greater than and equal to 10 is the domain of

Since 5 is not a real number greater than and equal to 10, therefore 5 is not the domain of

Thus, the functions which have 5 in their domain are

(b)

To determine

The values of functions at

Expert Solution

The values of

**Given:**

From part (a), the functions which have 5 in their domain are given below,

**Calculation:**

Substitute 5 for *x* in equation (1), to find the value of

For

Substitute 5 for *x* in equation (2) to find the value of

For

Thus, the values of