Translation 1 unit left and rotation of 90 degrees counterclockwise
For this case we have the following equations:

We must find 
By definition of composition of functions we have to:

So:

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

So, the roots are:

The domain is given by all real numbers except 0 and 3.
Answer:
x other than 0 and 3
Since the slope is -2, then m=-2. Since the y-intercept is 5, b=5. Then, we can create the equation: y=-2x+5
Since the slope is
, then m=
. Since the y-intercept is -3, b=-3.
Then, we can create the equation: y=
x-3
Answer:
The intersection of line l is AC
and the intersection of line m is DF.