Answer:
first option
Step-by-step explanation:
Given
y = 2(x - 3)² + 1
Rearrange making x the subject
Subtract 1 from both sides
y - 1 = 2(x - 3)² ( divide both sides by 2 )
[tex]\sqrt{\frac{y-1}{2} }[/tex] = (x - 3)² ( take the square root of both sides )
± [tex]\sqrt{\frac{y-1}{2} }[/tex] = x - 3 ( add 3 to both sides )
± [tex]\sqrt{\frac{y-1}{2} }[/tex] + 3 = x
Change y into terms of x with x being the inverse, that is
[tex]f^{-1}[/tex] (x) = ±[tex]\sqrt{\frac{x-1}{2} }[/tex] + 3
