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Anonymous

Nov 02, 2024

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

What is the equation that represents the inverse of ( y = x^2 + 16 )? The options are:
1. ( y = x^2 - 16 )
2. ( y = \sqrt{x - 16} )
3. ( y = -\sqrt{x - 16} )
4. ( y = x^2 - 4 )

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10 Answers

A
Anonymous

Jan 01, 2025

Step-by-step explanation:The given equation is Interchange the positions of x and yNow, solve this equation for y. That would be the inverse of this function.Subtract 16 to both sides of the equationTake square root both sidesThis is the inverse of the given function.
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A
Anonymous

Dec 05, 2024

is the inverse of Step-by-step explanation:Given that:Let us proceed step by step to calculate the inverse:Step 1: Put Step 2: Interchange and :Step 3: Solve the equation to find the value of :Step 4: Replace with :So, the inverse of is .
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A
Anonymous

Dec 28, 2024

as you already know to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".
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A
Anonymous

Nov 19, 2024

Step-by-step explanation:let : y = x² + 16calculate : xx² = y - 16x exist : y -16 ≥ 0x = √(y - 16)    or x =  - √(y - 16 )conclusion :  if : x ≥ 0    the inverse of f(x) is : g(x) = √(x - 16)if : x ≤ 0    the inverse of f(x) is : h(x) =  - √(x - 16)
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A
Anonymous

Dec 06, 2024

y = ±√(x-16)Step-by-step explanation:To find the inverse of an equation, swap the x- and y-variables:y = x² + 16x = y² + 16Then, solve for the y-variable:x = y² + 16y² = x - 16y = ±√(x-16)
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Mathematics

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Algebra inverse functions

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