The minimum value of 4^x+4^1-x, x € R is,

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Please find below the solution to the asked query:

fx=4x+41-xfx=4x+44xAs 4x is a positive quantity, and for two positive numbers,Arithmetic MeanGeometric Mean4x+44x24x×44x4x+44x24fx4Hence minimum value of fx=4x+41-x is 4.

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