Answer:
D
Step-by-step explanation:
let y = f(x), that is
y = [tex]\frac{2x-3}{5}[/tex]
Rearrange making x the subject
Multiply both sides by 5
5y = 2x - 3 ( add 3 to both sides )
5y + 3 = 2x (divide both sides by 2 ) , then
x = [tex]\frac{5y+3}{2}[/tex]
Change y back into term of x, hence
[tex]f^{-1}[/tex](x) = [tex]\frac{5x+3}{2}[/tex] → D
