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]