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Chapter 9: Q42. (page 477)

Under what conditions is the expression2dd+1d+1d2鈭�4undefined.

Short Answer

Expert verified

The expression is undefined for d=-2,-1,2.

Step by step solution

01

Step 1. Write down the given information.

The given expression is2dd+1d+1d2鈭�4

02

Step 2. Concept used.

The expression will be undefined for which the denominator of the given expression will be equal to zero.

03

Step 3. Calculation.

The given expression 2dd+1d+1d2鈭�4has denominator d+1d2鈭�4

Therefore, equating d+1d2-4gives,

d+1d2鈭�4=0d+1d鈭�2d+2=0d+1=0鈥刼谤d鈭�2=0ord+2=0d=鈭�1鈥刼谤d=2ord=鈭�2d=鈭�2,鈭�1,2d=鈭�2,鈭�1,2

Since the expression is undefined for d=鈭�2,鈭�1,2.

04

Step 4. Conclusion.

The expression is undefined for d=-2,-1,2.

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