f =ln (1+2/x) is concave if x<-2?explain 



Asked on

1 Answer | Add Yours

embizze's profile pic

Posted on (Answer #1)

Given `f=ln(1+2/x)` :

The domain of the function is `(-oo,-2)uu(0,oo)` . We are interested in the interval `(-oo,-2)` .



Note that the denominator is always positive. On the interval `(-oo,-2)` the numerator is always negative.

Thus the function is concave down for x<-2.

We’ve answered 288,022 questions. We can answer yours, too.

Ask a question