Question

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.

Answer 1

\(\bf f(x) \implies y = \cfrac{3x+2}{4}\\ \quad \\
\textit{you get the inverse of a function by switching the variables about}\\ \quad \\

\color{blue}{y} = \cfrac{3\color{red}{x}+2}{4}\quad inverse \implies \color{red}{x} = \cfrac{3\color{blue}{y}+2}{4}\\ \quad \\

\textit{then just solve for }y\textit{ on the inverse}\)