the domain of the expression x 2 + 1 x 2 − x − 2 .

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.4, Problem 11E
To determine

To calculate: the domain of the expression x2+1x2−x−2 .

Expert Solution

The domain of the given expression is R({1},{2})

Where R is real number

Explanation of Solution

Given information:

The given expression is provided below

x2+1x2x2

Formula used:

The denominator part of the expression does not be 0 .

b±b24ac2a

Where a,b,c is the constant

Calculation:

Consider the expression as,

x2+1x2x2

Recall that the denominator should not be equal to 0

Therefore

x2x20

Recall the quadratic equation formula then

a=1,b=-1,c=-2

b±b24ac2a

(1)±(1)24.1.(2)2.101±1+8201±9201±320(1+32,132)0(42,22)0(2,1)0

Therefore th value of x will not be {2},{1}

So the domain of the expression will be R({1},{2})

Where R belongs to real number.

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