# Which equation is the inverse of 2(x - 2)2 = 8(7 + y)? Â© -2(x - 2)2 = -8(7 + y) y= 2x2-x-6 y=-2: _28+4x

###### Question:

Â© -2(x - 2)2 = -8(7 + y)

y= 2x2-x-6

y=-2: _28+4x

y=2+ V28+4x

## Answers

The inverse of [tex]2(x - 2)^2 = 8(7 + y)[/tex] is [tex]y=\sqrt{(4x+28)}+2[/tex]

Step-by-step explanation:

Given equation :[tex]2(x - 2)^2 = 8(7 + y)[/tex]

[tex]\Rightarrow \frac{2(x-2)^2}{8}=7+y\\\Rightarrow \frac{2(x-2)^2}{8}-7=y[/tex]

Replace x with y and y with x

So, [tex]\Rightarrow \frac{2(y-2)^2}{8}-7=x\\\Rightarrow \frac{2(y-2)^2}{8}=x+7\\\Rightarrow 2(y-2)^2=8(x+7)\\\Rightarrow (y-2)^2=4(x+7)\\\Rightarrow (y-2)=\sqrt{4(x+7)}\\\Rightarrow y=\sqrt{4(x+7)}+2\\\Rightarrow y=\sqrt{4x+28)}+2[/tex]

So, Option C is correct

Hence The inverse of [tex]2(x - 2)^2 = 8(7 + y)[/tex] is [tex]y=\sqrt{(4x+28)}+2[/tex]

x=2y+16

Step-by-step explanation:

You have to isolate the variable by dividing each side by factors that don`t contain the variable.

The way i found the â€œinverseâ€ this is not accurate at all lol but i got

f^-1 (x) = 2x + 16 iâ€™m not a number person at ALL iâ€™m definitely a word person. I make pretty bad grades in math but i hope you get the right answer from someone

Y 8

ha then u can do this