The y-intercept of the rational function $$ k(x) = \frac{x^3 - 27}{x^2 - 9} $$ is $$ \underline{\quad} $$.
Answer & Analysis
Analysis
Question Analysis
This problem evaluates the student's ability to find the y-intercept of a rational function by substituting and simplifying the expression, including factoring and simplifying complex fractions.
Key Concept Explanation
The y-intercept of a rational function is found by evaluating . Factoring and simplifying complex fractions are essential steps.
Step-by-step Solution
1. Substitute into the function:
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