Following the hint, when f ( x ) = 0 {\displaystyle f(x)=0} , we have x − 1 x 2 = 0 {\displaystyle {\frac {x-1}{x^{2}}}=0} . Solving for x {\displaystyle x} , we get x = 1. {\displaystyle x=1.}
When x = 0 , f ( x ) = x − 1 x 2 = ∞ . {\displaystyle x=0,f(x)={\frac {x-1}{x^{2}}}=\infty .} Thus, the y-intercept does not exist, and the x-intercept is x = 1 {\displaystyle \color {blue}x=1} .