The minimum value of $4^x+4^{1-x},\,x∈R$ is
Answer & explanation
Correct answer: option 2
A.M ≥ G.M
$∴\frac{4^x+\frac{4}{4^x}}{2}≥\sqrt{4^x.\frac{4}{4^x}}$
$\Rightarrow 4^x+4^{1-x}\ge 4$
$\Rightarrow \text{Minimum value of } 4^x+4^{1-x} \text { is 4 }.$