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Chapter 9: Q13. (page 476)

Identify all of the values of y for which the expression y-4y2-4y-12 is undefined.

A-2,4,6B-6,-4,2C-2,0,6D-2,6

Short Answer

Expert verified

The expression is undefined for y=-2,6. So, option (D) is correct.

Step by step solution

01

Step 1. Write down the given information.

The given expression is y-4y2-4y-12.

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 y-4y2-4y-12has denominator y2-4y-12. Therefore, equating y2-4y-12=0gives,

y2鈭�4y鈭�12=0y鈭�6y+2=0y+2=0鈥刼谤y鈭�6=0y=鈭�2鈥刼谤y=6y=鈭�2,6y=鈭�2,6

Since the expression is undefined for y=-2,6. So, option (D) is correct.

04

Step 4. Conclusion.

The expression is undefined for y=-2,6. So, option (D) is correct.

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