Which equation is the inverse of y = 16x2 + 1?

we have

Step 1

exchange variables x for y and y for x

Step 2

Isolate the variable y

Subtract both sides

Divide by both sides

Square root both sides

Step 3

Let

therefore

the answer is

The inverse is equal to

The inverse of the function is y = \sqrt{x+1/16}

Given the expression

y = 16x² + 1

We see to find the inverse of the function

Replace y with x to have;

x = 16y² - 1

Make y the subject of the formula

16y² = x + 1

Divide both sides by 16

16y²/16 = x+1/16

y² = x+1/16

Take the square root of both sides

y = \sqrt{x+1/16}

Hence the inverse of the function is y = \sqrt{x+1/16}

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