SOLUTION: What is the inverse function of f[x]=x^3+3 and verify that f and f^-1 are inverse functions.

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Question 720372: What is the inverse function of f[x]=x^3+3 and verify that f and f^-1 are inverse functions.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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What is the inverse function of f[x]=x^3+3 and verify that f and f^-1 are inverse functions.
y = x^3 + 3
swap x and y and solve for y
y^3 + 3 = x
y^3 = x - 3
find the cube root of both sides
y = (x-3)^(1/3)
:
Check:
when x = 1, y = 4 in the original equation
when x = 4, y = 1 in the inverse equation