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#32218

fraction

systems

equations

algebra

exponential

functions

medium

100 sec

Function $f$ is defined by $f (x) = A \cdot b^{x} - C$ , where $A$ , $b$ , and $C$ are constants. In the $x y$ -plane, the graph of $y = f (x) + 8$ has a $y$ -intercept at $(0, 1)$ . It is given that $A = 3 C$ . 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.