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Which function is the inverse of ๐‘ฆ=2๐‘ฅ+52y=2x+ 25โ€‹ ?A.๐‘ฆ=12๐‘ฅ+25y= 21โ€‹ x+ 52โ€‹ B.๐‘ฆ=๐‘ฅโˆ’54y=xโˆ’ 45โ€‹ C.๐‘ฆ=โˆ’2๐‘ฅโˆ’52y=โˆ’2xโˆ’ 25โ€‹ D.๐‘ฆ=12๐‘ฅโˆ’54y= 21โ€‹ xโˆ’ 45โ€‹ SUBMITarrow_backPREVIOUS

Question

Which function is the inverse of ๐‘ฆ=2๐‘ฅ+52y=2x+ 25โ€‹ ?A.๐‘ฆ=12๐‘ฅ+25y= 21โ€‹ x+ 52โ€‹ B.๐‘ฆ=๐‘ฅโˆ’54y=xโˆ’ 45โ€‹ C.๐‘ฆ=โˆ’2๐‘ฅโˆ’52y=โˆ’2xโˆ’ 25โ€‹ D.๐‘ฆ=12๐‘ฅโˆ’54y= 21โ€‹ xโˆ’ 45โ€‹ SUBMITarrow_backPREVIOUS

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Solution

To find the inverse of the function y = 2x + 25, we first replace y with x and x with y to get x = 2y + 25.

Next, we solve for y.

Subtract 25 from both sides to get x - 25 = 2y.

Then, divide both sides by 2 to get y = (x - 25) / 2.

So, the inverse of the function y = 2x + 25 is y = 1/2x - 25/2.

This corresponds to option D: ๐‘ฆ=1/2๐‘ฅโˆ’25/2.

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What is the inverse of the function ๐‘“(๐‘ฅ)=๐‘ฅ+23

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