Question

Which equation is the inverse of 2(x-2)squared=8(7+y)

Answer 1

y=2+√28+4x

Explanation:

Answer 2

`f^(-1)(x)=2(+/-)2√((7+x))`

Explanation:

we have

`2(x-2)^(2)=8(7+y)`

step 1

Exchange x for y and y for x

`2(y-2)^(2)=8(7+x)`

step 2

isolate the variable y

`(y-2)^(2)=4(7+x)`

take the square root both sides

`y-2=(+/-)√(4(7+x))`

`y=2(+/-)√(4(7+x))`

step 3

Let

`f^(-1)(x)=y`

`f^(-1)(x)=2(+/-)√(4(7+x))`

`f^(-1)(x)=2(+/-)2√((7+x))` ----> equation of the inverse