Chapter 14, Problem 1RE

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

What is the domain of

To determine

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

Answer

**Solution:**

The domain of the function

Explanation

**Given Information:**

The provided function is

**Formula used:**

The domain of a function of two variables

If the function maps each element of the domain to an element in the codomain, then it is said to be well defined.

To find the domain of a rational function, set the denominator of the function equals to zero. Then the domain of the function is the set of all ordered pairs except the values for which the denominator is zero.

**Calculation:**

Consider the provided function,

Rewrite

Thus,

The function

Recall that, to find the domain of a rational function, set the denominator of the function equals to zero. Then the domain of the function is the set of all ordered pairs except the values for which the denominator is zero.

The denominator of the function

Thus, the denominator

Therefore, the domain of the function

where *x* and *y* are real and

Hence, the domain of the function

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