Question

Find the inverse of the function. Graph the function and its inverse.h(x)=-4x-5

Answer 1

Given:

There are given the function:

`h(x)=-4x-5`

Step-by-step explanation:

To find the inverse of the function, first, we need to conver h(x) to y

Then,

`\begin{gathered} h(x)=-4x-5 \\ y=-4x-5 \end{gathered}`

Now,

Interchange y and x variables.

So,

`\begin{gathered} y=-4x-5 \\ x=-4y-5...(1) \end{gathered}`

Then,

We need to find the value for y from the equation (1):

So,

`\begin{gathered} \begin{equation*} x=-4y-5 \end{equation*} \\ x+5=-4y-5+5 \\ x+5=-4y \\ y=-(x+5)/(4) \end{gathered}`

Therefore, the inverse function is shown below:

`y=-(x+5)/(4)`