Answer:
y = (x^2 + 6) / 2
Step-by-step explanation:
Original function: 
To find the inverse of a function we have to switch the x and y values and solve for y again
x = sqrt (2y-6)
To get rid of a square root we square the square root so:
x^2 = 2y-6
Add 6
x^2 + 6 = 2y
Divide by 2
y = (x^2 + 6) / 2

We need to solve for x, we need to get x alone

Lets start by removing -5
Add 5 on both sides


Now to isolate x , we need to remove the square from x
To remove square , take square root on both sides

square and square root will get cancelled

So
and 
2n+34 i=is an <span>algebraic expression<span> </span></span>
9=5 -y/3
-5
3=-y/3
cross multiply
1=-y
y=-1
The answer should be C but I’m not for sure ask your teacher sorry!!