Question:

\( h(x) = \frac{28x + 4}{x - 4} \). For which of the following values of \(x\) is the function undefined?

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Always check denominators in rational functions. Undefined points occur where the denominator equals zero.
Updated On: Sep 30, 2025
  • \( 4 \)
  • \( 28 \)
  • \(-4\)
  • 0
  • None of the other answers
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The Correct Option is A

Solution and Explanation

Step 1: Recall the definition of an undefined function.
A rational function is undefined where the denominator = 0.
Step 2: Solve denominator.
\[ x - 4 = 0 \quad \Rightarrow \quad x = 4 \]
Step 3: Check other values.
For \(x = 28, -4, 0\), the denominator is not zero. Hence, the only problematic value is \(x = 4\).
Final Answer: \[ \boxed{x = 4} \]
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