Q.

The inverse of the function y=[1−(x−3)4]1/7 is

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a

3+(1−x7)1/4

b

3−(1−x7)1/4

c

3−(1+x7)1/4

d

None of these

answer is A.

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Detailed Solution

Clearly y is one-one and onto. We have, y=[1−(x−3)4]1/7 ⇒      (x−3)4=1−y7 ⇒       x=3+(1−y7)1/4 ⇒       f−1(y)=3+(1−y7)1/4
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