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Mathematics 9 Online
OpenStudy (anonymous):

need help :( 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.

OpenStudy (anonymous):

@phi @jdoe0001

OpenStudy (jdoe0001):

so Juliana wants the inverse function of \(\bf f(x)=\cfrac{3x+2}{4}\) she knows that with \(\bf f(x)=\cfrac{3x+2}{4}\) , she can find out how much COST will it be for the TEXTing she has done using the inverse function, will tell her how much her COST will allow her to TEXT so, all you really have to do, is swap about the "variables", that is the "y" and "x" ones like \(\bf f(x)={\color{red}{ y}}=\cfrac{3{\color{blue}{ x}}+2}{4}\qquad inverse\implies {\color{blue}{ x}}=\cfrac{3{\color{red}{ y}}+2}{4}\) and solve for "y"

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