f-x-1-1-x-1-1-a-ax-ax-8-x-gt-0-a-gt-0-x-R-a-R-prove-1-lt-f-x-lt-2-

Question Number 108815 by 1xx last updated on 19/Aug/20

f (x) = \frac{1}{\sqrt{1 + x}} + \frac{1}{\sqrt{1 + a}} + \frac{\sqrt{a x}}{\sqrt{a x + 8}}

x > 0, a > 0, x \in R, a \in R

p r o v e : 1 < f (x) < 2