Answer:
[tex]y=2\pm\sqrt{28+4x}[/tex]
Step-by-step explanation:
we have
[tex]2(x-2)^2=8(7+y)[/tex]
step 1
Exchange the variables x for y and y for x
[tex]2(y-2)^2=8(7+x)[/tex]
step 2
Isolate the variable y
Divide by 2 both sides
[tex](y-2)^2=4(7+x)[/tex]
square root both sides
[tex]y-2=\pm\sqrt{4(7+x)}[/tex]
Adds 2 both sides
[tex]y=2\pm\sqrt{4(7+x)}[/tex]
Apply distributive property right side
[tex]y=2\pm\sqrt{28+4x}[/tex] ---> inverse function
y = 2 plus-or-minus StartRoot 28 + 4 x EndRoot
