Question

90 more points to go!

Answer 1

`(x+8)^2=y;\ x\ge -8`

Explanation:

So the inverse is when the x and y are swapped

Original equation:

`y=√(x)-8`

Swap x and y:

`x=√(y)-8`

add 8 to both equations:

`x+8=√(y)`

Square both sides

`(x+8)^2=y`

Now while this looks like a normal quadratic, it has to have the range restriction the original function had, but as it's domain restriction. So the range of the original function was y >= -8, because the smallest value you could input is 0, and the square root of that is 0, then subtract 8 and you get -8. So the domain is x >= -8