Question

The table below shows some inputs and outputs of the invertible function f with domain all real numbers.

Answer 1

93

-15

Explanation:

Answer 2

`{f}^( - 1) (f(93)) = 93`

`f(f(7)) = - 15`

Explanation:

A function and its inverse has the following properties

`{f}^( - 1) (f(x)) = x`

This implies that;

`{f}^( - 1) (f(93)) = 93`

From the table,

`f(7) = - 6`

This means that:

`f(f(7)) = f( - 6)`

`f(f(7)) = - 15`

Note that: f(7) means the value of f(x) when x=7.

From the table f(x)=-6 when x=7.

That is why f(7)=-6.