Which function is the inverse of ๐ฆ=2๐ฅ+52y=2x+ 25โ ?A.๐ฆ=12๐ฅ+25y= 21โ x+ 52โ B.๐ฆ=๐ฅโ54y=xโ 45โ C.๐ฆ=โ2๐ฅโ52y=โ2xโ 25โ D.๐ฆ=12๐ฅโ54y= 21โ xโ 45โ SUBMITarrow_backPREVIOUS
Question
Which function is the inverse of ๐ฆ=2๐ฅ+52y=2x+ 25โ ?A.๐ฆ=12๐ฅ+25y= 21โ x+ 52โ B.๐ฆ=๐ฅโ54y=xโ 45โ C.๐ฆ=โ2๐ฅโ52y=โ2xโ 25โ D.๐ฆ=12๐ฅโ54y= 21โ xโ 45โ SUBMITarrow_backPREVIOUS
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: ๐ฆ=1/2๐ฅโ25/2.
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