To evaluate the expression \( \frac{f^2}{dg} + f \) for \( d = 0 \), \( f = 5 \), and \( g = -19 \), we can follow these steps:
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First, calculate \( f^2 \): \[ f^2 = 5^2 = 25. \]
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Next, calculate \( dg \). Since \( d = 0 \): \[ dg = 0 \times -19 = 0. \]
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Now, substitute the values into the expression: \[ \frac{f^2}{dg} + f = \frac{25}{0} + 5. \]
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Here, we encounter a problem. Dividing by zero (as \( dg = 0 \)) is undefined in mathematics.
Thus, the entire expression \( \frac{f^2}{dg} + f \) is undefined due to the denominator being zero.
So, the final answer is that the expression is undefined.
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