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The minimum value of 4^(x)+4^(1-x),x in ...

The minimum value of `4^(x)+4^(1-x),x in RR` is

A

2

B

4

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
WE know that `AMgeGM`
`implies (4^(x)+4^(1-x))/(2) gesqrt(4^(x).4^(1-x))`
`implies 4^(x)+4^(1-x)ge2sqrt(4)`
`implies 4^(x)+4^(1-x)ge2.2`
`implies 4^(x)+4^(1-x)ge4`
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