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Question


Find the inverse of the function f(x)=(x2)13


Options:
A .   x-2
B .   (x+2)2
C .   x3
D .   x3+2
E .   (x2)3
Answer: Option D
:
D

Option (d)
Let  y=(x2)13
y3=x2
y3+2=x
Now, replace y to x.
f(x)1=x3+2



Alternative Approach:
a) Assuming a value for x. let x=0. then f(x)=(2)13
b) Substitute, x=(2)13  in the answer options and see where you get f(x)=0
substituting, only option (d) gives  f(x)=0  at  x=(2)13



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