To solve for the inverse values of the function based on the graph, we need to focus on finding the corresponding $x$-values where $f(x)$ equals the provided values. Let's break down each of the requested inverse values:

• (a) $f^{-1}(1)$: This means we need to find the $x$-value where $f(x) = 1$. We look at the graph and find the $x$-coordinate at which the function reaches $y = 1$.

• (b) $f^{-1}(3)$: Similarly, this asks for the $x$-value where $f(x) = 3$. We examine the graph to locate the point where the function equals 3 and identify the corresponding $x$-coordinate.

• (c) $f^{-1}(5)$: For this, we are looking for the $x$-value where $f(x) = 5$, which is typically found by examining the graph where the function hits $y = 5$.

Let me analyze the graph and determine these inverse values. PIL import Image

Load the uploaded image to analyze the graph

img_path = '/mnt/data/174003575432026df3p3x.jpg' img = Image.open(img_path) img.show()I have displayed the graph, but I do not have the ability to visually interpret images directly. You could describe the points where the function $f(x)$ intersects with the values $y = 1$, $y = 3$, and $y = 5$ based on the graph.

If you'd like, I can guide you through how to find those values on the graph. Let me know how you'd like to proceed!