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EXAMPLE 1

x + 8. a. 10 x. a. The expression x + 8 is undefined when 10 x = 0, or x = 0. 10 x. ANSWER. The excluded value is 0. EXAMPLE 1. Find excluded values. Find the excluded values , if any , of the expression. SOLUTION. The expression 5 is undefined when

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EXAMPLE 1

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  1. x + 8 a. 10x a. The expressionx + 8is undefined when10x = 0, or x= 0. 10x ANSWER The excluded value is 0. EXAMPLE 1 Find excluded values Find the excluded values, if any, of the expression. SOLUTION

  2. The expression 5 is undefined when 2y + 14 = 0, or x = – 7. 2y + 14 5 b. ANSWER 2y + 14 The excluded value is– 7. EXAMPLE 1 Find excluded values Find the excluded values, if any, of the expression. SOLUTION

  3. ANSWER 4v c. The excluded values are – 3 and 3. v 2 – 9 The expression4vis undefined whenv2 – 9= 0, or (v + 3)(v – 3) = 0.The solutions of the equation are – 3and 3. c. v2–9 EXAMPLE 1 Find excluded values Find the excluded values, if any, of the expression. SOLUTION

  4. 7w + 2 7w + 2 d. is undefined when d. The expression 8w 2 + w + 5 8w 2 + w + 5 8w2 + w + 5 = 0. ANSWER There are no excluded values. EXAMPLE 1 Find excluded values Find the excluded values, if any, of the expression. SOLUTION The discriminant isb2 – 4ac = 12 – 4(8)(5) < 0.So, the quadratic equation has no real roots.

  5. x + 2 2. 3x – 5 The excluded value is . ANSWER ANSWER 5 2 There are no excluded values. 3 5y2 + 2y +3 for Example 1 GUIDED PRACTICE Find the excluded values, if any, of the expression. 1.

  6. 2m 4. m2 – 4 ANSWER n – 6 ANSWER – The excluded value is and 4 . 3 2n2 – 5n – 12 The excluded value is 2, and 2 . – 2 for Example 1 GUIDED PRACTICE Find the excluded values, if any, of the expression. 3.

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