Question

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pls help


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Answer 1

9514 1404 393

Answer:

B

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 ...

`f^(-1)(x)=((x+2)/(3))^2\qquad\text{matches choice B}`

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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.