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Question

The minimum value of $4^{x} + 4^{1 - x}$ , $x ϵ R$ , is
1
2
4
none of these

A

1

B

2

C

none of these

D

4

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Solution

Verified by Toppr

$A M \geq G M$

$\frac{4^{x} + 4^{1 - x}}{2} \geq \sqrt{4^{x} . 4^{1 - x}}$

$4^{x} + 4^{1 - x} \geq 4$

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