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
Given:
The inequality is

To find:
The value of x and then graph on the number line.
Solution:
We have,

Subtracting 19 from both sides, we get


It means all the real values of x which are less than or equal to 4 are in the solution set. So, an arrow approaches towards left from x=4 as shown in the below figure.
Perimeter Formula:

Area Formula:

Set perimeter Formula equal to b:

Plug formula for be we just made above into the area Formula:

Solve for L (you'll have to use quadratic formula) then plug that back into the area Equation and solve for b.
Here's a link to where the problem has been explained before (they go into more detail than me).
https://brainly.ph/question/468631
lmk if you need any more help
8 = 4w/3 Original Problem.
4w/3 = 8 Flip Flopped the problem around.
4w = 24 Multiplied each side by 3.
w = 6 Divided each side by 4.
Answer: w = 6