Respuesta :

Answer:

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

Step-by-step explanation:

let f(x) = y, then y = 2x + 1

rearrange, making x the subject

subtract 1 from both sides

y - 1 = 2x ( divide both sides by 2 )

x = [tex]\frac{y-1}{2}[/tex]

change y back into terms of x

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