Question

Find the inverse function of $f\left(x\right)=2x-3$.

Answer 1

Let $y=f\left(x\right)=2x-3$

$y=2x-3$

$x=\frac{y+3}{2}$

$y=f\left(x\right)$

$x=f^{-1}\left(y\right)$

$f^{-1}\left(y\right)=\frac{y+3}{2}$

Replace y by x.

$f^{-1}\left(x\right)=\frac{x+3}{2}$