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Q.

If f(x) is an invertible function and g(x)=2f(x)+5, then the value of g−1(x) is

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a

2f−1(x)−5

b

12f−1(x)+5

c

12f−1(x)+5

d

f−1x−52

answer is D.

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Detailed Solution

Replacing x by g−1(x) , we get x=2fg−1(x)+5∴ fg−1(x)=x−52∴ g−1(x)=f−1x−52

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If f(x) is an invertible function and g(x)=2f(x)+5, then the value of g−1(x) is