The minimum value of fx-aax-a1-ax- where a- x - R and a-0- is equal to-a-B- a-1 C- 2 aD- 2 -a

The correct option is D 2√(a)Using AM ≥ GM inequality, we get a^a^x+aa^a^x2≥ ( a^a^x·aa^a^x )^12 ⇒ a^a^x+ a^1 a^x≥2√(a) ...

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AM,GM,HM Inequality

The minimum v...

Question

The minimum value of $f (x) = a^{a^{x}} + a^{1 - a^{x}}$ , where $a, x \in R$ and $a > 0$ , is equal to:

a + \frac{1}{a}

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a + 1

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2 a

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2 \sqrt{a}

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Solution

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