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#37015

transformations

functions

hard

120 sec

In the given function $f$ , $C$ is a constant. The graph of function $f$ in the $x y$ -plane, where $y = f (x)$ , is translated 2 units to the right and 3 units down to produce the graph of $y = g (x)$ . If $f (x) = \frac{C}{x - 1} + 4$ and the graph of $y = g (x)$ passes through the point $(5, 3)$ , what is the value of $C$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.