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

4 answers
Question:

Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
© -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 “inverse” this is not accurate at all lol but i got
f^-1 (x) = 2x + 16 i’m not a number person at ALL i’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

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