Question
Find the inverse of the function f(x)=(x−2)13
Answer: Option D
:
D
Option (d)
Let y=(x−2)13
y3=x−2
y3+2=x
Now, replace y to x.
f(x)−1=x3+2
Alternative Approach:
a) Assuming a value for x. let x=0. thenf(x)=(−2)13
b) Substitute,x=(−2)13in the answer options and see where you get f(x)=0
substituting, only option (d) gives f(x)=0atx=(−2)13
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:
D
Option (d)
Let y=(x−2)13
y3=x−2
y3+2=x
Now, replace y to x.
f(x)−1=x3+2
Alternative Approach:
a) Assuming a value for x. let x=0. thenf(x)=(−2)13
b) Substitute,x=(−2)13in the answer options and see where you get f(x)=0
substituting, only option (d) gives f(x)=0atx=(−2)13
Was this answer helpful ?
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