Q.

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

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a

3+(1−x7)14

b

(3−(1−x7)14

c

3−(1+x7)14

d

3+(1+x7)14

answer is A.

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Detailed Solution

f−1(x)=y⇒x=[1−(y−3)4]17            ⇒(y−3)4=1−x7            ∴y=3+(1−x7)14     f-1x    =3+(1−x7)14
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The inverse of the function y = [1–(x–3)4]1/7 is