Question

Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
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=
O -2(x - 2)2 = -8(7 + y)
O y-1x2-x-6
O y=-2+28+4x
y = 2+28+4x

Answer 1

The inverse of an equation is the opposite of the equation

The inverse of the function is $y =2 \pm \sqrt{28 + 4x$

How to determine the inverse of the function

The equation is given as:

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

Divide both sides of the equation by 2

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

Open the bracket

$(x - 2)^2 = 28 + 4y$

Take the square roots of both sides

$x - 2 = \pm\sqrt{28 + 4y$

Add 2 to both sides

$x =2 \pm \sqrt{28 + 4y$

Swap the occurrences of x and y

$y =2 \pm \sqrt{28 + 4x$

Hence, the inverse of the function is $y =2 \pm \sqrt{28 + 4x$

Read more about inverse functions at:

https://brainly.com/question/8120556