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  4. If f: R → R defined by f (x)=(2x-7/4) is an invertible function, then find f-1.

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Q. If f : R→R defined by f(x)=2x−74 is an invertible function, then find f−1.

Relations and Functions - Part 2

Solution:

let y=2x−74
⇒x=4y+72
∴
\Rightarrow f ^{-1}\left(x\right)=\frac{4x+7}{2}