Juliana has created the function f(x) = the quantity of 3x plus 2, divided by 4 to represent the cost of texting on her current plan, where x represents the number of texts. juliana discovers that, using the inverse function to solve for x = 24, she can predict how many texts she can use for $24

Let

x-------> the number of texts

f(x)------> the cost of texting on Juliana's current plan

we know that

Step

Find the inverse function of f(x)

Let

y=f(x)

exchange the variables x for y and  y for x

Clear variable y

Let

------> this is the inverse function

where

x ------> represent the cost

f(x)^{-1}------> the number of texts

Solve for

substitute

therefore

the answer is

answer: 5100 just subtract

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)