Question

Why is the first equation not correct? Should it be x=ln(0)? I'm looking for the point d'inflexion and the answer should be -1 like the others but i coulden't get that answer in the first equation.

Answer 1

ln(0) does not exist, the point of inflection for p(x) is only -1.

Edit: The point of inflection is where p''(x) changes signs. If you graph y = (x+1)e^(x) it only does that on x = -1. It is true that the limit of this to -infinity is 0, but that does not mean it ever meets the x-axis at some point.

Answer 2

e^(x)=0 is not solvable in the reals. i think you've flipped the fact that e^(0)=1.

Answer 3

I tried x=ln(0) but the answer should be -1 not -♾️. What am I doing wrong?