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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