Answer:
The inverse is
[tex]y = \pm \sqrt{ {x}^{2} - 7 } [/tex]
Step-by-step explanation:
The options are not provided.
However, I will show you how to find the inverse of
[tex]y = {x}^{2} - 7[/tex]
We interchange x and y to get,
[tex]x = {y}^{2} - 7[/tex]
We solve for y,
[tex] {y}^{2} = x + 7[/tex]
[tex]y = \pm \sqrt{x + 7} [/tex]