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,

$y=2x+\frac{5}{2}$

To find the inverse of the given function.

Explanation:

It is given that,

$y=2x+\frac{5}{2}$

That implies,

Step 1: Replace x by y.

Then,

$x=2y+\frac{5}{2}$

Step 2: Solve for y.

Then,

$\begin{gathered} x=\frac{4y+5}{2} \\ 2x=4y+5 \\ 4y=2x-5 \\ y=\frac{2x-5}{4} \\ y=\frac{2x}{4}-\frac{5}{4} \\ y=\frac{1}{2}x-\frac{5}{4} \end{gathered}$

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