f-x-1-1-x-1-1-a-ax-ax-8-x-0-a-0-show-1-lt-f-x-lt-2-

Question Number 138316 by Ñï= last updated on 12/Apr/21

f (x) = \frac{1}{\sqrt{1 + x}} + \frac{1}{\sqrt{1 + a}} + \sqrt{\frac{a x}{a x + 8}}, x \in (0, \infty)

\forall a \in (0, \infty), s h o w 1 < f (x) < 2 .