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


To find \( h(3) \) given the function \( h(x) = -5x - 3 \), follow these steps:

1. **Substitute** \( x = 3 \) into the function \( h(x) \):
   \[
   h(3) = -5(3) - 3
   \]

2. **Simplify** the expression:
   \[
   h(3) = -15 - 3 = -18
   \]

Thus, \( h(3) = -18 \).

Would you like more details or have any other questions?

Here are 5 related questions to explore:
1. What is the value of \( h(0) \) for the given function?
2. How do you find the x-intercept of the function \( h(x) = -5x - 3 \)?
3. What is the y-intercept of the function \( h(x) = -5x - 3 \)?
4. What is the slope of the function \( h(x) = -5x - 3 \)?
5. What would be the value of \( h(x) \) if \( x = -1 \)?

**Tip:** Always remember that the y-intercept occurs where \( x = 0 \).

Discover how to find h(3) for the function h(x) = -5x - 3 step-by-step. This problem involves substituting x = 3 into the linear function and simplifying the expression. Suitable for high school students learning about linear functions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation