Question

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Answer 1

Option 2:
`f^((-1))(x) = -(3)/(4x)` is the correct answer.

Explanation:

Given function is:

`f(x) = -(3)/(4x)`

There are few steps to find inverse of a function. We will apply them one by one onto the function

Step 1: Replacing f(x) with y

`y = -(3)/(4x)`

Step 2: Replacing y with x and x with y

`x = -(3)/(4y)`

Step 3: Solving the equation in step 2 for y

`x = -(3)/(4y)\\y = -(3)/(4x)`

Step 4: Replacing y with inverse of f

`f^((-1))(x) = -(3)/(4x)`

Hence,

Option 2:
`f^((-1))(x) = -(3)/(4x)` is the correct answer.