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What is the inverse of the function ๐‘“(๐‘ฅ)=๐‘ฅ+23?Group of answer choices๐‘“โˆ’1(๐‘ฅ)=3๐‘ฅ+6๐‘“โˆ’1(๐‘ฅ)=3๐‘ฅโˆ’6๐‘“โˆ’1(๐‘ฅ)=3๐‘ฅโˆ’2๐‘“โˆ’1(๐‘ฅ)=3๐‘ฅ+2 PreviousNext

Question

What is the inverse of the function ๐‘“(๐‘ฅ)=๐‘ฅ+23?Group of answer choices๐‘“โˆ’1(๐‘ฅ)=3๐‘ฅ+6๐‘“โˆ’1(๐‘ฅ)=3๐‘ฅโˆ’6๐‘“โˆ’1(๐‘ฅ)=3๐‘ฅโˆ’2๐‘“โˆ’1(๐‘ฅ)=3๐‘ฅ+2 PreviousNext

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Solution

The inverse of a function is found by switching the x and the y (or f(x)) and solving for y.

So, for the function f(x) = x + 23, we start by replacing f(x) with y:

y = x + 23

Then we switch x and y:

x = y + 23

And solve for y:

y = x - 23

So, the inverse of the function f(x) = x + 23 is f^-1(x) = x - 23.

None of the provided answer choices match this result.

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