Question
Find the minimum value of the expression, P = 2x+1 + 1/ [4(x/2 + 3/2)] , given that x is real
Answer: Option B
:
B
The expression can be rewritten as2x+1 + 2 -2 (x/2 +3/2)= 2x+1 + 2 -x-3Using the concept of AM ≥ GMTherefore, the min value occurs when both the numbers are same. In that case 2(x+1) = 2-(x+3). X = -2. Thus the number = ½.so ½ +1/2 = 1.
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:
B
The expression can be rewritten as2x+1 + 2 -2 (x/2 +3/2)= 2x+1 + 2 -x-3Using the concept of AM ≥ GMTherefore, the min value occurs when both the numbers are same. In that case 2(x+1) = 2-(x+3). X = -2. Thus the number = ½.so ½ +1/2 = 1.
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