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Roman55 [17]
2 years ago
8

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

Mathematics
1 answer:
Scrat [10]2 years ago
5 0

The inverse of an equation is the opposite of the equation

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

<h3>How to determine the inverse of the function </h3>

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:

brainly.com/question/8120556

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