How do you find the inverse of #f(x) = 1-x^3#?

1 Answer
Tony B
Nov 17, 2015

#y=root(3)(1-x)#

Explanation:

Write as:

#y=1-x^3#

Make #x# the dependant variable and then swap the letters round. In that, where ever there is an #x# (there should only be one!) write #y# and wherever there is a #y# write #x#.

#x^3=1-y#

#x=root(3)(1-y)#

Now change the letters round!

#y=root(3)(1-x)#

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