Respuesta :
Answer:
[tex] {y}^{ - 1} = \sqrt{x - 16} [/tex]
Step-by-step explanation:
- To find the inverse of this function, we make "x" the subject of the equation .
- [tex]y = {x}^{2} + 16 \\ {x}^{2} = y - 16 \\ x = \sqrt{y - 16} [/tex]
- then we interchange "y" and "x" .
- [tex]hence \: the \: inverse \: is \\ {y}^{ - 1} = \sqrt{x - 16} [/tex]