JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The minimum value of

f(x) = {a^{{a^x}}} + {a^{1 - {a^x}}}

, where

a,\,\,x \in R

and

a > 0

, is equal to

View answer and explanation

Correct option: C

2\sqrt a

Option C (

2\sqrt a

) is correct because it is found by applying the Arithmetic Mean (AM) >= Geometric Mean (GM) inequality to the given expression.

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\frac{3}{4}