Given f, left bracket, x, right bracket, equals, minus, 5, x, minus, 3f(x)=−5x−3, find f, left bracket, minus, 6, right bracketf(−6).

1. Break Down the Problem

We need to evaluate the function $f(x) = -5x - 3$ at the specific value $x = -6$. This means substituting $-6$ into the function.

2. Relevant Concepts

The function $f(x)$ is linear. To evaluate $f(-6)$, we'll apply the defined function directly:

$f(x) = -5x - 3$

3. Analysis and Detail

To find $f(-6)$, substitute $-6$ in place of $x$:

$f(-6) = -5(-6) - 3$

Now, let's perform the calculations step by step:

1. Calculate $-5 \times -6$: $-5 \times -6 = 30$

2. Now, subtract $3$ from $30$: $30 - 3 = 27$

4. Verify and Summarize

All calculations appear to be correct, and substituting $-6$ into the function yields a final result of $27$.

Final Answer

Thus, $f(-6) = 27$.