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. explain to juliana how to accomplish this, using complete sentences.

She can get $24 for 31 texts.

Step-by-step explanation:

Let's convert the verbal expression into algebraic expression.

f(x) = the quantity of 3x plus 2, divided by 4

f(x) = , where "x" represents the number of texts.

Here f(x) = y

So y =  

Now let's find the inverse function.

Step 1: Replace "x" by "y" and "y" by "x".

x =

Step 2: Write y in terms of x.

Multiply both sides by 4, we get

Subtract 2 from both sides, we get

Dividing both sides by 3, we get

In the inverse function "x" represents the cost and y represents the number of texts.

So plug x = 24 in the inverse function and find the value of "y".

y =

The number of sentences must be a whole number.

So she can get $24 for 31 texts.