Question

What is the inverse of h(x)=3 square root x -3

Answer 1

y =
`(x^(2) + 27)/(8)`

Explanation:

To find the inverse, we will set it equal to y, switch the x and y values, then solve for y.

[Given] h(x)=3 square root x -3

[Rewrite] y = 3
`√(x-3)`

[Switch values] x = 3
`√(y-3)`

[Square both sides] x² = 9(y - 3)

[Distrubte] x² = 8y - 27

[Add 27 to both sides & flip equation] 8y = x² + 27

[Divide both sides of 8] y =
`(x^(2) + 27)/(8)`

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather