Answer:
(a) (0, 0)
(b) (0, 0)
Explanation:
The x-intercepts of a graph are the points at which the curve crosses the x-axis ⇒ when y = 0.
Part (a)
From inspection of the graph, the x-intercept is at the origin (0, 0).
Part(b)
To check, set the given equation of the graph to zero and solve for x:
![\implies y=0](https://img.qammunity.org/2023/formulas/mathematics/college/xp4vl9uok5cge84vo6cu98qbav6cof9m2z.png)
![\implies (2x)/(x-3)=0](https://img.qammunity.org/2023/formulas/mathematics/college/frh4ya5wrd0v4svr4jrpl464io8yvz37zd.png)
![\implies (2x)/(x-3) \cdot (x-3)=0 \cdot (x-3)](https://img.qammunity.org/2023/formulas/mathematics/college/hr89e5b7k1echgzoa4hcqidk6hp2nmsf34.png)
![\implies2x=0](https://img.qammunity.org/2023/formulas/mathematics/college/afc6qpaejpyi2qenqb4j9j9gbec8zi5kzl.png)
![\implies (2x)/(2)=(0)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/ztfopa13j5q7koc2n7l25n6bm6yd8w3iou.png)
![\implies x=0](https://img.qammunity.org/2023/formulas/mathematics/high-school/d4uaimm5c76ybh9l7bf4zv4rcmu4lv5wc2.png)
Hence confirming that the x-intercept is at the origin (0, 0).