Question

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

Answer 1

Given that, $f\left(x\right)=2x-3,\forall x\in R$
Now, ley $y=2x-32x=y+3x=\frac{y+3}{2}=f^{-1}\left(y\right)\therefore f^{-1}\left(x\right)=\frac{x+3}{2}$