Answer:
Slope: undefined
Equation: x=-3
Step-by-step explanation:
To find the line that passes through the points, you first want to find the slope. The formula for slope is . Once we have the slope, we can use any given point to plug in to find the y-intercept.
We can see that the slope is undefined. If we look at the point, we notice that they both have the same x-coordinate. This let's us know that the equation is x=-3.
For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:
g(f(x)) = x = f(g(x))
<u>The restriction is:</u>
x ≠ 4
<u>The inverse is:</u>
Here our function is:
We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.
(x - 4)^2 = 0
x - 4 = 0
x = 4
So the only value of x that we need to remove from the domain is x = 4.
To find the inverse we try with the general form:
Evaluating this in our function we get:
Remember that the thing above must be equal to x, so we get:
From the two above equations we find:
b = 11
a = 4
Thus the inverse equation is:
If you want to learn more, you can read: