9514 1404 393
Answer:
C ∛((x+2)/5) -3
Step-by-step explanation:
To find the inverse function, solve for y:
x = f(y)
x = 5(y +3)³ -2 . . . . . . substitute f(y)
x +2 = 5(y +3)³ . . . . . add 2 -- already you know C is the answer
(x +2)/5 = (y +3)³ . . . . divide by 5
∛((x +2)/5) = y +3 . . . . take the cube root
∛((x +2)/5) -3 = y . . . . subtract 3
f^-1(x) = ∛((x +2)/5) -3 . . . . matches expression C
