What is the inverse of the function ๐(๐ฅ)=๐ฅ+23?Group of answer choices๐โ1(๐ฅ)=3๐ฅ+6๐โ1(๐ฅ)=3๐ฅโ6๐โ1(๐ฅ)=3๐ฅโ2๐โ1(๐ฅ)=3๐ฅ+2 PreviousNext
Question
What is the inverse of the function ๐(๐ฅ)=๐ฅ+23?Group of answer choices๐โ1(๐ฅ)=3๐ฅ+6๐โ1(๐ฅ)=3๐ฅโ6๐โ1(๐ฅ)=3๐ฅโ2๐โ1(๐ฅ)=3๐ฅ+2 PreviousNext
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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