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Can someone tell just the answer

Can someone tell just the answer-example-1

1 Answer

3 votes

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 = [ ( -x -2)/2 ]

Hence the inverse of the function is ,


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

Hence the correct option is (D) .

User Vishwajit Palankar
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