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CAT 2006 Question Paper Question 18
Question 18

Let f(x) = max (2x + 1, 3 - 4x), where x is any real number. Then the minimum possible value of f(x) is:

Solution

The minimum value is obtained when 2x+1 = 3-4x => 6x = 2 => x = 1/3
So, f((x) = 2*1/3 + 1 = 5/3



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