Given f, of, x, equals, minus, 5, x, minus, 3*f*(*x*)=−5*x*−3, find f, of, minus, 6*f*(−6)

You are given the function:

\[
f(x) = -5x - 3
\]

and are asked to find \( f(-6) \).

### Step 1: Plug \( x = -6 \) into the function

Substitute \( x = -6 \) into the expression for \( f(x) \):

\[
f(-6) = -5(-6) - 3
\]

### Step 2: Simplify the expression

First, calculate \( -5(-6) \):

\[
-5(-6) = 30
\]

Then subtract 3:

\[
f(-6) = 30 - 3 = 27
\]

### Final Answer:

\[
f(-6) = 27
\]

Would you like any additional details or clarification?

Here are 5 related questions to explore further:
1. What is the general form of a linear function?
2. How do you interpret the slope in the equation \( f(x) = -5x - 3 \)?
3. What is the significance of finding \( f(x) \) for a specific value of \( x \)?
4. How can you determine the x-intercept and y-intercept of the function?
5. How would the graph of \( f(x) = -5x - 3 \) look?

**Tip:** Always check for arithmetic errors by recalculating each step to ensure precision.

This guide walks you through evaluating f(-6) for the linear function f(x) = -5x - 3. Learn how to substitute and simplify expressions in basic algebra. Suitable for students in Grades 6-8.

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