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muminat
2 years ago
13

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

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
7 0

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

Step-by-step explanation:

     First, we will rewrite the function in terms of <em>y</em> 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 <em>y</em> 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

<em>Learn more about the </em><em>inverse of a function</em><em> here:</em>

<em>brainly.com/question/940569</em>

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