BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.1, Problem 49E
To determine

Find the domain of the function f(x)=x+2x21

Expert Solution

Answer to Problem 49E

The domain of the function f(x)=x+2x21 is (,1)(1,1)(1,)

Explanation of Solution

Given information: Consider the function f(x)=x+2x21

Calculation:

A rational expression is not defined when the denominator is 0.

Since x210

  x21x±1

Hence the given function is defined for all the values of x in the set of real numbers except of the value x=1,x=1.

Thus, the domain of the function f(x)=x+2x21 is (,1)(1,1)(1,)

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