Question

Question 41.Find the inverse of the given function. Graph both functions on the same set of axes and show the line y=x as a dotted line in the graph.

Answer 1

Explanation:

We have the following function:

`g(x)=-3x+1`

We calculate the inverse of the function like this:

`\begin{gathered} x=-3\cdot g^(-1)(x)+1 \\ 3\cdot g^(-1)(x)=-x+1 \\ g^(-1)(x)=(-x+1)/(3) \end{gathered}`

Now we graph each of the functions: