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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.5, Problem 19E

(a)

To determine

**To find:** The domain of the function

Expert Solution

The domain of the function *f* (*x*) is

**Definition used:**

The domain is the set of all input values of the function for which the function is real and defined.

**Calculation:**

Consider the denominator of the function

Since the denominator of

Equate the powers as they have the same base and simplify as follows.

Hence, the function is undefined when

Therefore, the domain of the function is

And, the interval notation of the domain of

(b)

To determine

**To find:** The domain of the function

Expert Solution

The domain of the function *f* (*x*) is

Consider the denominator of the function

Since the output of the exponential function can never be 0, the function is defined for any values of *x*.

Therefore, the domain of the given function is the set of all real numbers, which is