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Q.

The inverse of f(x)=23(10x−10−x10x+10−x) is

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a

13log101+x1−x

b

12log102+3x2−3x

c

13log102+3x2−3x

d

16log102−3x2+3x

answer is B.

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Detailed Solution

If y=2310x−10−x10x+10−x, then 102x=3y+22−3y or x=12log102+3y2−3y ∴ f−1(x)=12log102+3x2−3x

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