(Solved): Given the graph of f(x) shown, answer the following. (a) What is f1(5)? (b) Solve the equation ...

Given the graph of $$f(x)$$ shown, answer the following. (a) What is $$f^{?1}(5)?$$ (b) Solve the equation $$f(x)=?13$$. What is $$f^{?1}(?13)$$ ? (c) Sketch the graph of the inverse function. Step 1 of 4 Determine if $$f(x)$$ has an inverse. By looking at the graph, we see $$f(x)$$ is always strictly . Therefore it is one-to-one. This can also be shown using the horizontal line test. Since $$f(x)$$ is one-to-one, it has an inverse function which we denote as $$f^{?1}(x)$$. Since $$f(x)$$ is invertible, find $$f^{?1}(5)$$ by finding the $$x$$-value where $$f(x)=5$$. Recall the following definition of the inverse function. $$y=f(x)?x=f^{?1}(y)$$ $$f^{?1}(5)=2$$ Step 3 of 4 (b) Solve the equation $$f(x)=?13$$. What is $$f^{?1}(?13)$$ ? Solve $$f(x)=?13$$ by inspecting the graph, and then use the definition of inverse function to find $$f^{?1}(?13)$$. Step 4 of 4 (c) Sketch the graph of the inverse function. Sketch the graph of the inverse function by reflecting the graph over the line $$y=x$$. . Choose the correct graph of the inverse function.