Question

What is the inverse of the function f(x) = x - 12?

Answer 1

Answer: $\displaystyle f(x)^{-1}=x+12$

Step-by-step explanation:

     First, we will rewrite the function in terms of y as in y = x - 12.

     Second, we will swap the x and y values.

y = x - 12

x = y - 12

     Third, we will solve for y. In other words, we will isolate the y variable and get it "by itself" on one side of the equal sign.

x = y - 12

x + 12 = y

y = x + 12

      Lastly, we will change y back into terms of the function, but the inverse.

$\displaystyle f(x)^{-1}=x+12$

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