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Alexandra [31]
3 years ago
13

Can someone tell just the answer

Mathematics
1 answer:
larisa [96]3 years ago
5 0

Answer:

Option D is correct .

Step by step explanation:

A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.

So for finding its inverse , exachange x with y .

⇒ g(x) = -2x⁵ - 2 .

Let g(x) = y ,

⇒ y = -2x⁵ - 2 .

Replace x with y ,

⇒ x = -2y⁵ - 2

⇒ x + 2 = -2y⁵

⇒ y⁵ = x+2 / -2

⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)

⇒ y⁵ = -x - 2/ 2

⇒ y = ⁵√ [ ( -x -2)/2 ]

Hence the inverse of the function is ,

\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}

<h3><u>Hence </u><u>the</u><u> </u><u>corre</u><u>ct</u><u> option</u><u> is</u><u> </u><u>(</u><u>D</u><u>)</u><u> </u><u>.</u></h3>
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What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?
MrRissso [65]
The y value of the vertex is 121. 

We can find this by first finding the x value of the vertex. The x value of the vertex in a quadratic equation will always be half way between the two zeros. We can find the zeros by setting each parenthesis equal to 0 and solving for x. 

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