Respuesta :

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-3}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 2x + 3 ( subtract 3 from both sides )

y - 3 = 2x ( divide both sides by 2 )

[tex]\frac{y-3}{2}[/tex] = x

Change y back into terms of x, that is

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-3}{2}[/tex]