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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 $f$ : $R \to R$ defined by $f \left(x\right)=\frac{2x-7}{4}$ is an invertible function, then find $f^{-1}$.

Relations and Functions - Part 2

Solution:

let $y=\frac{2x-7}{4}$
$\Rightarrow x=\frac{4y+7}{2}$
$\therefore f ^{-1}\left(y\right)=\frac{4y+7}{2}$
$\Rightarrow f ^{-1}\left(x\right)=\frac{4x+7}{2}$