The last one
Explanation
The 90 degrees transformation from the origin switches the sides and changes x to negative
You must plug the g(x) function into every x in f(x)...
((5x)-3)/(5x) = (fog)(x)
Since the only value that would be undefined is x = 0 which makes the denominator zero, the domain is all reals except x = 0.
Or
(−∞,0)U(0,∞)
Well the answer is either Jesus or applesauce
The solution is (-4,3)
-3x-3y=3
y=-5x-17
so find the y in the first equation in terms of x
-3x-3y=3
-3y=3x+3
y=-x-1
then set the two equations equal to each other
y=-x-1
y=-5x-17
-x-1=-5x-17
4x=-16
x=-4
now put the x into one of the equations
-3(-4)-3(y)=3
12-3y=3
-3y=-9
y=3
so the solution is (-4,3)
to check it, put the points into equations and see if they're correct
-3(-4)-3(3)=3
12-9=3
3=3 correct
3=-5(-4)-17
3=20-17
3=3 correct
These require you solve for y. Do that by subtracting the x-term, then dividing by the y-coefficient.
5. 3y = 7x -9
y = (7/3)x -3
6. 6y = -2x -3
y = (-2/6)x -3/6
y = (-1/3)x -1/2
7. 8y = 2x + 12
y = (1/4)x +3/2
