To find the x-intercept of the function f(x) = (x+1)/(1-x), set y to 0, resulting in the equation 0 = (x+1)/(1-x). For the y-intercept, set x to 0, yielding y = (0+1)/(1-0), which simplifies to y = 1. It's crucial to remember that the x-intercept requires setting y to 0, while the y-intercept requires setting x to 0. Understanding this method is essential for solving similar problems. The discussion emphasizes the importance of memorizing these steps for finding intercepts.