Answer:
B
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = (2x - 4)² ( take the square root of both sides )
[tex]\sqrt{y}[/tex] = 2x - 4 ( add 4 to both sides )
[tex]\sqrt{y}[/tex] + 4 = 2x ( divide terms on both sides by 2 )
[tex]\frac{1}{2}[/tex][tex]\sqrt{y}[/tex] + 2 = x
x = [tex]\frac{1}{2}[/tex][tex]\sqrt{y}[/tex] + 2
Change y back into terms of x
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{2}[/tex][tex]\sqrt{x}[/tex] + 2, x ≥ 0
