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:
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Answer:
see the explanation
Step-by-step explanation:
In this problem
I will assume that the total amount required for the trip is $1,200
so
Let
x ----> the number of weeks
we know that
The number of weeks multiplied by $75 plus $300 must be at least $1,200
In this context, the term "at least" means "greater than or equal to"
so
The linear inequality that represent this problem is

Solve for x
subtract 300 both sides


Divide by 75 both sides

therefore
The minimum number of weeks you need to save is 12
Answer:
for problem 1: -4 x -2 = -6
for problem 2: -8x +3 = -11x
Step-by-step explanation:
I hope it helped
brainlest please
Answer:
No, because the reflection of ABC is not congruent to A’B’C’.
Step-by-step explanation:
we know that
The rule of the reflection across the line y=x is equal to
(x,y) -------> (y,x)
so
A(-6,6) -------> A'(6,-6) ----> is ok
B(-3,3) ------> B'(3,-3) ----> is ok
C(-8,2) ------> C'(8,-2) ----> is not ok ( is not a reflection acros the line y=x)
therefore
The triangles are no t congruent, because the reflection of ABC is not congruent to A’B’C’
Answer:
the average rate of change is 4.
Step-by-step explanation:
Find the average rate of change of f(x)=x^2 on the interval [1,3].
The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.
We have that a=1, b=3, f(x)=x^2.
Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.