Mathematics: If f(x)=x-2 which of the following is the inverse of f(x)

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If f(x)=x-2 which of the following is the inverse

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16.01.2022

The inverse of f(x) is $f ^ {- 1}(x) = x + 2$

Step-by-step explanation:

To find the inverse of the function f (x) = x-2 , perform the following steps:

1) do y = f (x)

y = x-2

2) Solve the equation for the variable x.

y + 2 = x -2 +2

y + 2 = x

3) exchange the variable x with the variable y

y + 2 = x ----> x + 2 = y

4) Change the variable y by $f ^{- 1}(x)$

Finally the inverse function is:

$f ^ {- 1} (x) = x + 2$

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