Answer:
B
Step-by-step explanation:
let y = f(x)
Rearrange making x th subject
y = [tex]\frac{3x}{2}[/tex] + 5 ( subtract 5 from both sides )
y - 5 = [tex]\frac{3x}{2}[/tex] ( multiply both sides by 2 )
2(y - 5) = 3x ( divide both sides by 3 )
[tex]\frac{2(y-5)}{3}[/tex] = x
Change y back into terms of x
[tex]f^{-1}[/tex](x) = [tex]\frac{2(x-5)}{3}[/tex] → B
