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Let f be a real-valued invertible functi...

Let `f` be a real-valued invertible function such that `f((-32 x)/(x-2))=5x-2, x!=2.` Then value of `f^(-1)(13)` is________

Text Solution

Verified by Experts

The correct Answer is:
3
We have `f((2x-3)/(x-2))=5x-2`
`or f^(-1)(5x-2)=(2x-3)/(x-2)`
Let `5x-2=13." Then " x=3`.
Here, `f^(-1)(13)=(2(3)-3)/(3-2)=3`.
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