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33 votes
Find the inverse of f(x) = 12x - 3

User Nick Cordova
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1 Answer

10 votes
10 votes

ANSWER


f^(-1)(x)\text{ = }(y)/(12)+(1)/(4)

Step-by-step explanation

We want to find the inverse of the function given:

f(x) = 12x - 3

First, replace f(x) with y:

y = 12x - 3

Now, make x the subject of the function:

y + 3 = 12x


\begin{gathered} \Rightarrow\text{ x = }(y)/(12)\text{ + }(3)/(12) \\ x\text{ = }(y)/(12)\text{ + }(1)/(4) \end{gathered}

Now, replace x with f-1(x) and y with x:


f^(-1)(x)\text{ = }(y)/(12)+(1)/(4)

That is the inverse function.

User David Chopin
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2.9k points