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]