The function y = x * ln(x + e) has two distinct x intercepts. one is at x = a and the other is at x = b. the value of a + b is

a) 0
b) undefined
c) 1 - e ***
d) 1
e) e - 1

As points, x-intercepts take the form , so to find the intercepts we can set and solve for .



From the first equation alone, we already know that is a solution, which means one intercept is .

The second equation gives



so that the second intercept occurs at .

So if and , we have , giving C as the answer.