Question

Which function is the inverse of y = 2x+2/?O A. y - x-OB. y=x+2Уo C. y = -2x-5O D. y-x-5=SU a

Answer 1

Given

The function,

`y=2x+(5)/(2)`

To find the inverse of the given function.

Step-by-step explanation:

It is given that,

`y=2x+(5)/(2)`

That implies,

Step 1: Replace x by y.

Then,

`x=2y+(5)/(2)`

Step 2: Solve for y.

Then,

`\begin{gathered} x=(4y+5)/(2) \\ 2x=4y+5 \\ 4y=2x-5 \\ y=(2x-5)/(4) \\ y=(2x)/(4)-(5)/(4) \\ y=(1)/(2)x-(5)/(4) \end{gathered}`

Hence, the inverse of the given function is y=1/2x-5/4.