Respuesta :

Answer:

Step-by-step explanation:

the x intercept occurs when y=0

[tex]0=\frac{2x+6}{x-1}\\0=2x+6\\x=-3\\(-3,0)[/tex]

The y intercept occurs when x=0

[tex]y=\frac{2(0)+6}{0-1}=-6\\(0,-6)[/tex]

Answer:

Below in bold.

Step-by-step explanation:

To find the x -intercept put f(x) = 0:

(2x - 6)/(x - 1) = 0

2x - 6 = 0

2x = 6

x = 3

So the x-intercept is at the point(3, 0).

To find the y-intercept put x = 0:

y = (2(0) - 6)/(0 - 1)

= -6/-1

= 6

So the x-intercept is at the point(0, 6).