ANSWER
b=1, c=81, and d=9.
EXPLANATION
The given function is:
[tex]y={x}^{2}-18x[/tex]
This function is the same as:
[tex]y={(x - 9)}^{2}-81[/tex]
To find the inverse of this function, we interchange x and y.
[tex]x={(y-9)}^{2}-81[/tex]
Solve for y:
[tex]x+81={(y- 9)}^{2}[/tex]
Take square root of both sides:
[tex]\pm \sqrt{x + 81}=y-9[/tex]
[tex]y=\pm \sqrt{x + 81}+9[/tex]
Hence,
b=1, c=81, and d=9.
