Write an equation for the graphed function

g(x) = 1/(x-1) - 3

Step-by-step explanation:

Where would y = 1/x be located?

It would have an asymptote at each of the y and x axes.

This is shifted one to the right, and three down.

To shift one to the right:

y = 1/(x-1)

To shift three down:

y = 1/(x-1) - 3

And we're done!

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18