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8th Edition

James Stewart

ISBN: 9781285741550

To determine

Check whether the functions

Answer

The functions *f* and *g* are same.

Explanation

**Given:**

The functions

**Reason:**

It is known that, two functions are same if they have exactly same output values for every input values.

Obtain the domain of each function and observe.

Recall the fact that the domain is the set of all input values for which the function is defined.

Domain of

Thus, the domain of

Domain of

Thus, the domain of

It is clear that the functions

For example, consider the values of *x* and *u* as 0.

In equation (1), substitute 0 for *x*.

In equation (2), substitute 0 for *u*.

Since the values of

Therefore, it can be concluded that

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