Question

The table below shows some inputs and outputs of the invertible function f etc ​

Answer 1

`(a)\ f^(-1)(-15) = -6`

`(b)\ f^(-1)(4) + f(9)=0`

Explanation:

Given

The attached table

`(a)\ f^(-1)(-15)`

This represents an inverse function.

So, we look into x row for its value.

i.e.

`f^(-1)(-15) = -6`

`(b)\ f^(-1)(4) + f(9)`

Just like (a)

`f^(-1)(4) = -11` ---- by looking into the x rows

`f(9) = 11`

So:

`f^(-1)(4) + f(9)=-11 + 11`

`f^(-1)(4) + f(9)=0`