Advertisements
Advertisements
Question
If f : R → R be given by f(x) = (3 – x3)1/3, then fof(x) = ______.
Fill in the Blanks
Advertisements
Solution
If f: R → R be given by f(x) = (3 – x3)1/3, then fof(x) = x.
Explanation:
f(x) = (3 – x3)1/3
fof(x) = f[f(x)]
fof(x) = f[3 – x3]1/3
= [3 – ((3 – x3)1/3)3]1/3
= [3 – (3 – x3)]1/3
= [3 – 3 + x3]1/3
= (x3)1/3
= x
shaalaa.com
Is there an error in this question or solution?
