Answer:
(I attached an image of the graphed lines)
Step-by-step explanation:
First, we need to graph the original function:
- The given equation is written in y=mx+b form, in which m is the slope and b is the y-intercept, or where the line crosses through the y axis. This means the slope is [tex]\frac{2}{1}[/tex] and the y-intercept is -4.
Next, we need to find the inverse of the function and graph that as well:
- First, change f(x) in the given equation to y. These mean the same thing, it just makes it easier to work with.
- Swap the places of x and y. Then, the rest of the steps are essentially just isolating the variable y.
- Add 4 to both sides of the equation to cancel out the -4 (You will end up with -2y = x + 4)
- Divide both sides of the equation by -2 to isolate y (You will end up with y = (x/2) + 2)