Hello !

One way to do it, without graph, is to study the function

. Now, be patient and read carefully

IF X<0

Which is not possible, because

and

Therefore,

and f is strictly increasing when x<0.

(x=0 is a vertical asymptote)

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IF X>0

Let

Therefore, g is strictly increasing.

We can conclude that there exists a>0 such that

So

The function f is decreasing if x<a and then increasing if x>a. Thus f(a) is a minimum of f(x), for x>0.

Since

, we have

, which is

since

Sorry for the confusion For some reason, I took at least twice the wrong function, and hence the *woops* mistakes