Question 13 plz show ALL STEPS

Step-by-step explanation:

Here are some of the graphs:

Blue is g(x) and Green is f(x). The 2nd graph is for the 13b. It shows our graph after 1 transformation. The 3rd graph is after both transformations.

13a. Let use the following values in

We know by definition of rational function x cannot be zero.

Let find some values across interval 2 through 4.

Let use the following values in

By definition of rational function, x cannot be 1 because it will make the denominator zero. Let use some values across the interval 0 through 4.

So graph this in a table of values. I'll post a picture of the table of values on the top.

13b. We need to write g(x) as a transformation of f(x). If we look at the graphs, g(x) has a asymptote at x=1 while f(x) has a asymptote of 0. This means that we need to move f(x) to the right one unit or move (x-1) units.

We will upgrade the graph.

Now we can just add 3 to f(x) to get to g(x).

In the 3rd graph, notice how both graphs coincide. Our transformations is complete.

The answer is

13c. We can say this as we move f(x) to the right 1 unit and shift f(x) up 3 units.

idk this answer sorry cant on this one.

step-by-step explanation: