A) \[{{(1-x)}^{-1/3}}\]
B) \[{{(1-x)}^{3}}\]
C) \[1-{{x}^{3}}\]
D) \[1-{{x}^{1/3}}\]
Correct Answer: C
Solution :
Given, \[f(x)=y={{(1-x)}^{1/3}}\] \[\Rightarrow\] \[{{y}^{3}}=1-x\] \[\Rightarrow\] \[x=1-{{y}^{3}}\] \[\therefore\] \[{{f}^{-1}}(x)=1-{{x}^{3}}\]You need to login to perform this action.
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