Given h, of, x, equals, minus, 5, x, minus, 4*h*(*x*)=−5*x*−4, find h, of, 3*h*(3).

We are given the function \( h(x) = -5x - 4 \). To find \( h(3) \), we substitute \( x = 3 \) into the function equation:

\[
h(3) = -5(3) - 4
\]

Let's calculate it step by step:

\[
h(3) = -15 - 4
\]

\[
h(3) = -19
\]

So, \( h(3) = -19 \).

Would you like more details or have any other questions?

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Here are 8 related questions to expand your understanding:

1. What is \( h(0) \) for the function \( h(x) = -5x - 4 \)?
2. How would you find the value of \( h(-2) \) for this function?
3. What is the slope of the function \( h(x) = -5x - 4 \)?
4. How do you determine the y-intercept of the function \( h(x) = -5x - 4 \)?
5. Can you rewrite the function \( h(x) = -5x - 4 \) in slope-intercept form \( y = mx + b \) and identify \( m \) and \( b \)?
6. What is the inverse function of \( h(x) = -5x - 4 \)?
7. How do you graph the function \( h(x) = -5x - 4 \)?
8. What are the key differences between the functions \( h(x) = -5x - 4 \) and \( f(x) = 3x - 3 \)?

**Tip:** When dealing with linear functions, recognizing the pattern in slope and y-intercept can quickly help you determine the behavior of the function and solve for specific values.

Learn how to evaluate the function h(x) = -5x - 4 at x = 3 with step-by-step calculations. This problem involves evaluating a linear function and understanding function notation. Suitable for high school students.

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