Question

Let $f:R\to R$ be the function defined by $f\left(x\right)=2x-3\forall x\in R$. Find $f^{-1}$

Answer 1

Let $y=2x-3$

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

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

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