Question

Funçao inversa f(x)=2x-3

Answer 1

$y = 2x-3$

Trocamos x por y e y por x

$x = 2y-3 \\ \\ 2y=x+3 \\ \\ y=\dfrac{x+3}{2} \\ \\ Ent\~ao, \\ \\ \boxed{f(x)^{-1}=\dfrac{x+3}{2}}$

Answer 2

$f(x)=2x-3\\\\ y=2x-3\\\\ x=2y-3\\\\ 2y=x+3\\\\ y=\frac{x+3}{2}\\\\ \boxed{f^-(x)=\frac{x+3}{2}}$