Question

The one-to-one functions g and h are defined as follows.g(x) = 4x - 3h={(-6, 3), (-4, 7), (3, -8), (6, 4)Find the following

Answer 1

It is given that

`g(x)=4x-3`

Now to find the inverse of g

Let

`\begin{gathered} y=4x-3 \\ 4x=y+3 \\ x=(y+3)/(4) \end{gathered}`

So

`g^(-1)(x)=(x+3)/(4)`

Now we know that

`(g^(-1).g)(x)=\text{ x}`

So

`(g^(-1).g)(2)=2`

And since

`h(-6)=3`

So

`h^(-1)(3)=-6`