Question

Please help I really need it

Answer 1

first option

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{(y-1)/(2) }` = (x - 3)² ( take the square root of both sides )

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

±
`\sqrt{(y-1)/(2) }` + 3 = x

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

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