Question

How do you solve a question like this?

Answer 1

Yes I concur with the second persons answer

Answer 2

Domain: All reals

Inverse:
`y = 1+√(2x+4)`

Explanation:

To start, let's find the domain. Nothing is restricted, because (x-1)^2 is always defined, so it is the set of all reals. The inverse can be found by making the equation
`y = {1\over2}(x-1)^2-2`, then switching all of the x's and y's and solving for y. We will get
`x = {1\over2}(y-1)^2-2\implies x+2={1\over2}(y-1)^2\implies 2x+4=(y-1)^2`. Now, take the square root of both sides and then add 1 to both sides to get
`y = 1+√(2x+4)`.