Question

Supposed g is a one-to-one function with the following valuesg(-7)= -6g(11)= -1

Answer 1

Given:

The function g(x) is one-one.

`g(-7)=-6`
`g(11)=-1`

Required:

We need to find the values of the inverse image of the function g(x).

Step-by-step explanation:

Recall that the image of distinct elements of the function is distinct.

There exist an inverse of g(x) since g(x) is one to one.

The inverse image of the given can be written as follows.

Consider the equation

`g(-7)=-6`
`g^(-1)g(-7)=g^(-1)(-6)`

`g^(-1)(-6)=-7`
`g(11)=-1`
`g^(-1)g(11)=g^(-1)(-1)`
`g^(-1)(-1)=11`

Final answer:

`g^(-1)(-6)=-7`
`g^(-1)(-1)=11`