Find the inverse of the given function.

For this case we must find the inverse of the following function:

We follow the steps below:

Replace f(x) with y:

We exchange the variables:

We solve for "y":

Multiply by -2 on both sides of the equation:

We raise both sides of the equation to the square to eliminate the radical:

We subtract 3 from both sides of the equation:

We change y by f ^ {- 1} (x):

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Step-by-step explanation:

Given : .

To find : Find the inverse of the given function.

Solution : We have given

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Step 1: take f(x) = y

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Step 2 : Inter change y and x.

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Step 3 : Solve for y

Taking square both sides

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On multiply both sides by 4.

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On subtraction both sides by 3.

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Here, is inverse of f(x)

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Therefore, .