To find the values of the function \( f(x) = -x - 4 \) for the specified inputs, simply substitute the values into the function.
(a) For \( f(6) \): \[ f(6) = -6 - 4 = -10 \]
(b) For \( f(0) \): \[ f(0) = -0 - 4 = -4 \]
(c) For \( f(-7) \): \[ f(-7) = -(-7) - 4 = 7 - 4 = 3 \]
(d) For \( f\left(\frac{1}{4}\right) \): \[ f\left(\frac{1}{4}\right) = -\frac{1}{4} - 4 = -\frac{1}{4} - \frac{16}{4} = -\frac{17}{4} \]
(e) For \( f\left(-\frac{1}{5}\right) \): \[ f\left(-\frac{1}{5}\right) = -\left(-\frac{1}{5}\right) - 4 = \frac{1}{5} - 4 = \frac{1}{5} - \frac{20}{5} = -\frac{19}{5} \]
Summarizing the results:
- (a) \( f(6) = -10 \)
- (b) \( f(0) = -4 \)
- (c) \( f(-7) = 3 \)
- (d) \( f\left(\frac{1}{4}\right) = -\frac{17}{4} \)
- (e) \( f\left(-\frac{1}{5}\right) = -\frac{19}{5} \)