Answer:
the simplified expression for \( f(x) - 4 \) when \( f(x) = \frac{x - 1}{x} \) is \( \frac{-3x - 1}{x} \).
Step-by-step explanation:
To calculate and simplify \( f(x) - 4 \) when \( f(x) = \frac{x - 1}{x} \), we follow these steps:
1. Substitute the expression for \( f(x) \) into \( f(x) - 4 \):
\( f(x) - 4 = \left(\frac{x - 1}{x}\right) - 4 \)
2. Find a common denominator to combine the terms:
\( f(x) - 4 = \frac{x - 1}{x} - \frac{4x}{x} \)
3. Simplify the expression:
\( f(x) - 4 = \frac{x - 1 - 4x}{x} \)
\( f(x) - 4 = \frac{-3x - 1}{x} \)
