Question

Please help I really need it

Answer 1

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 )

$\sqrt{\frac{y-1}{2} }$ = (x - 3)² ( take the square root of both sides )

± $\sqrt{\frac{y-1}{2} }$ = x - 3 ( add 3 to both sides )

± $\sqrt{\frac{y-1}{2} }$ + 3 = x

Change y into terms of x with x being the inverse, that is

$f^{-1}$ (x) = ±$\sqrt{\frac{x-1}{2} }$ + 3