9514 1404 393
Answer:
see attached
Step-by-step explanation:
To find the inverse function, solve for y:
x = h(y)
x = √(y +6) -7 . . . . . . . fill in the function definition
x +7 = √(y +6) . . . . . . .add 7
(x +7)² = y +6 . . . . . . . square
(x +7)² -6 = y . . . . . . . . subtract 6
Then the inverse function is ...
[tex]\boxed{h^{-1}(x)=(x+7)^2-6} \qquad\text{matches choice C}[/tex]
