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2 years ago

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 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.

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

Learn more about the inverse of a function here:

brainly.com/question/940569

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2 years ago

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Answer:

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Step-by-step explanation:

Given

$f(x) = 2x - 4$

Required

Determine the inverse function

Start by replacing f(x) with y

$y = 2x - 4$

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Make y the subject: Divide through by 2

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$y = \frac{1}{2}(x + 4)$

Replace y with f-1(x)

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