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I believe that you're asking how to sketch the graph, f: R3 --> R where f(x) = 2 + 1/(3 - x). That means that the function f maps from 3-dimensional Euclidean space (R3) to the set of real numbers (R) and is defined by the relation f(x) = 2 + 1/(3 - x).

To graph this function, plug in a bunch of values for x into the equation to find the corresponding values of f(x). Make a list of all of the ordered pairs you get in the form of (x, f(x)). Then, on some graph paper, set up an x-f(x), also known as x-y, coordinate system and plot the points. Finally, connect the points together with a continuous curve.

Some example points are (-2, 2.2), (-1, 2.25), (0, 2.33), (1, 2.5), and (2, 3). Don't plug in 3 for x because the universe might explode.

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Q: How do you sketch the graph of the function f from R3 to R where f of x equals 2 plus 1 divided by the quantity 3 minus x?
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