Standard Form: 79,031
Expanded Form: 70,000 + 9,000 + 30 + 1
Answer:

Step-by-step explanation:
We are given the function:

Let's find the inverse of g.
Call y=g(x):

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

Operate:

Collect the x's to the left side and the rest to the right side of the equation:

Factor the left side and operate on the right side:

Solve for x:

Interchange variables:

Call y as the inverse function:

Answer:
(1,2) and (5,4)
Step-by-step explanation:
Hello There!
I had made a graph to make it easier to understand.
The points given to us are represented by the green points
The points that would make a rectangle with lines that are parallel with the x axis would be (1,2) and (5,4) (represented by the red points)
As you can see the points added had created a rectangle with sides that are parallel with the x axis
This meets all of the requirements therefore the other two vertices would have the points (1,2) and (5,4)
Answer:
<em>The denominator is 12</em>

Step-by-step explanation:
<u>The Number Line</u>
We can represent any real number in a properly segmented line, where the zero-mark is the separation between positive numbers to its right side and negative numbers to the left side.
We are given the number x = 2/3. Since it's positive, its location lies to the right of the zero but before the 1 as shown in the figure below.
We want to locate a second point y at the same distance from 0 as the point x, so we have two options: y is the same as x, or y is negative at the same distance from zero. We chose the last option.
Its numerator must be 8, so we need to multiply it by 4. But we cannot alter the value of x, so we must also multiply the denominator by 4, which gives us the fraction 8/12, but recall it must be negative.

The denominator is 12