Question

What is the inverse function of

Answer 1

`\sf f^(-1)(x) = -(9)/(2)x`

Explanation:

To find the inverse function of
`\sf f(x) = -(2)/(9)x`, we can follow these steps:

Replace
`\sf f(x)` with
`\sf y`:

`\sf y = -(2)/(9)x`

Swap
`\sf x` and
`\sf y`:

`\sf x = -(2)/(9)y`

Solve for
`\sf y`:

`\sf y = -(9)/(2)x`

So, the inverse function is
`\sf f^(-1)(x) = -(9)/(2)x`.