What is the inverse of the function 𝑓(𝑥)=𝑥+23?Group of answer choices𝑓−1(𝑥)=3𝑥+6𝑓−1(𝑥)=3𝑥−6𝑓−1(𝑥)=3𝑥−2𝑓−1(𝑥)=3𝑥+2 PreviousNext

Question

Group of answer choices
𝑓−1(𝑥)=3𝑥+6
𝑓−1(𝑥)=3𝑥−6
𝑓−1(𝑥)=3𝑥−2
𝑓−1(𝑥)=3𝑥+2

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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.

Which of the following is not a self-inverse function? 𝑦=𝑥 𝑦=1𝑥𝑦=−𝑥𝑦=𝑥Answer savedReport a problemPrevious question

If f(x) = 3𝑥−3x−33 , then f -1(x) =A.3𝑥+3x+33 B.𝑥−333x−3 C.3(𝑥+1𝑥)3( xx+1 )D.No inverse exists.E.𝑥+3𝑥xx+3

f(x) = x – 2. Find the inverse of f(x).A.𝑓−1(𝑥)=𝑥−2f −1 (x)=x−2B.𝑓−1(𝑥)=2𝑥f −1 (x)=2xC.𝑓−1(𝑥)=𝑥+2f −1 (x)=x+2D.𝑓−1(𝑥)=2−𝑥f −1 (x)=2−x

𝑆𝑢𝑝𝑝𝑜𝑠𝑒 𝑡ℎ𝑎𝑡 𝑡ℎ𝑒 𝑐ℎ𝑎𝑟𝑎𝑐𝑡𝑒𝑟𝑖𝑠𝑡𝑖𝑐 𝑝𝑜𝑙𝑦𝑛𝑜𝑚𝑖𝑎𝑙 𝑜𝑓 𝑠𝑜𝑚𝑒 𝑚𝑎𝑡𝑟𝑖𝑥 𝐴 𝑖𝑠 𝑓𝑜𝑢𝑛𝑑 𝑡𝑜 𝑏𝑒 𝑝(𝜆) = (𝜆 - 1)𝜆 -32 𝜆 -43 . 𝑊ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑖𝑧𝑒 𝑜𝑓 𝐴?

If g(x)= 𝑥𝑥+1x+1x then the inverse function g - 1(x) =A.𝑥+1𝑥xx+1 B.xC.𝑥1−𝑥1−xx D.𝑥−1𝑥xx−1 E.𝑥𝑥+1x+1x SUBMITarrow_backPREVIOUS

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