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Paragraph: Let f(x)=x^2-5 x+6, g(x)=f(|x|), h(x)=|g(x)| . Question: The number of integral values of x satisfying the equation g(x)+|g(x)|=0 is equal to:

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Correct answer

D. 4

Step-by-step solution

h(x)=k will have more than two solutions for k=0,1,2,3,4,5,6 h(x)=k will have exactly 8 distinct solution for 0 < k < 1 4 No integral value of k . Probability =0 Clearly, |g(x)|=-g(x) x [-3,-2] [2,3]

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