Given h, of, x, equals, minus, 5, x, minus, 1h(x)=−5x−1, find h, of, minus, 4h(−4).

To find \( h(-4) \) given the function \( h(x) = -5x - 1 \), we need to substitute \( x = -4 \) into the function.

Let's do the calculation:

\[
h(-4) = -5(-4) - 1
\]

Now, calculate:

\[
h(-4) = 20 - 1 = 19
\]

So, \( h(-4) = 19 \).

Would you like more details or have any questions about this? Here are some related problems you might find interesting:

1. Find \( h(2) \) for the function \( h(x) = -5x - 1 \).
2. Determine the value of \( x \) such that \( h(x) = 0 \) for \( h(x) = -5x - 1 \).
3. Evaluate \( h(x) \) when \( x = 0 \).
4. What is the slope of the line represented by \( h(x) = -5x - 1 \)?
5. Solve \( h(x) = 9 \) for \( x \) in the function \( h(x) = -5x - 1 \).

**Tip:** When substituting a value into a function, always replace every instance of the variable with the given number, and then simplify step by step.

Learn how to evaluate the function h(x) = -5x - 1 at x = -4 with a step-by-step solution. This problem covers function evaluation and linear functions, suitable for Grades 9-12 students.

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