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

ANSWER:

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STEP-BY-STEP EXPLANATION:

We have the following function:

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

We calculate the inverse of the function like this:

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

Now we graph each of the functions: