## Algebra and Trigonometry 10th Edition

(a) According to the graph, the function intercepts the x-axis when $x=-1$ The x-intercept is: $(-1,0)$ (b) Algebraically $y=0$ when $x=-1$ The x-intercept is: $(-1,0)$
$y=x+2+\frac{1}{x}$ $0=x+2+\frac{1}{x}~~$ (Multiply both sides by $x$) $0=x^2+2x+1=x^2+2(1)x+1^2$ $(x+1)^2=0$ $x+1=0$ $x=-1$