SOLUTION: Show that the given function is one-to-one and find its inverse. Check your answers algebraically and graphically. Verify that the range of f is the domain of f inverse and vice-ve
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Question 1125605: Show that the given function is one-to-one and find its inverse. Check your answers algebraically and graphically. Verify that the range of f is the domain of f inverse and vice-versa.
f(x)=6-5∛(x-8)
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
Solve for x.
y = 6 - 5cbrt(x - 8)
y - 6 = 5cbrt(x - 8)
(y-6)^3 = 125(x - 8)
(y-6)^3/125 = x - 8
f^(-1)(x) = ((x-6)^3/125) + 8
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