Question

Evaluate the expression for d = 0, f = 5, and g = –19. Simplify your answer.

f2
dg + f
=

Answer 1

To evaluate the expression \( \frac{f^2}{dg} + f \) for \( d = 0 \), \( f = 5 \), and \( g = -19 \), we can follow these steps:

1. First, calculate \( f^2 \):
\[
f^2 = 5^2 = 25.
\]

2. Next, calculate \( dg \). Since \( d = 0 \):
\[
dg = 0 \times -19 = 0.
\]

3. Now, substitute the values into the expression:
\[
\frac{f^2}{dg} + f = \frac{25}{0} + 5.
\]

4. 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**.