Answer:
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1 . Below is the explanation
Step-by-step explanation:
Given:
The graph of f(x)=x^{2}x
2
To find:
The equation of the transformed graph g(x).
The red graph f(x) is moved right 3 units and up 1 unit to get g(x).
When graph is moved right 3 units , 3 should be subtracted with x.
When graph is moved up 1 unit, 1 is added at the end.
So, our g(x)=(x-3)^{2} +1(x−3)
2
+1
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1
All functions have an inverse expression.
- The cost function is:
. - The inverse function is:

From the question, we have the following observations:
- Base fare = 50000 pesos for first 100
- Additional guest = 100 pesos
So, the cost function would be:

Where: x represents the number of guests, and C(x) represents the cost function
Expand

Evaluate like terms

To calculate the inverse function, we have:

Replace C(x) with y

Swap x and y

Subtract 40000 from both sides

Divide both sides by 100

Rewrite as:

Split


Hence, the inverse function is: 
Read more about functions and inverse at:
brainly.com/question/10300045
Y = -3x + b
Plug in point
-4 = -3(3) + b
-4 = -9 + b, b = 5
Solution: y = -3x + 5
1st digit: 9 possibilities (can’t have 0)
2nd digit: 10 possibilities
3rd digit:10
4th digit:10
5th digit:10
6th digit: 4 possibilities (it can only be even)
9•10•10•10•10•4 =360,000 possibilities