9514 1404 393
Answer:
B
Step-by-step explanation:
The inverse function is the solution to ...
x = f(y)
x = 3√y -2 . . . . use given f(x)
x +2 = 3√y . . . . add 2
(x +2)/3 = √y . . . . divide by 3
((x +2)/3)^2 = y . . . . square both sides
Then the inverse function is ...
[tex]f^{-1}(x)=(\dfrac{x+2}{3})^2\qquad\text{matches choice B}[/tex]
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Additional comment
The range of the original quadratic is f(x) ≥ -2. This will be the domain of the inverse function: x ≥ -2.
