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

Given the function \( h(x) = 3x - 5 \), you are asked to find \( h(3) \).

### Solution:
1. The function is \( h(x) = 3x - 5 \).
2. Substitute \( x = 3 \) into the function:
   \[
   h(3) = 3(3) - 5
   \]
3. Perform the calculation:
   \[
   h(3) = 9 - 5 = 4
   \]

Thus, \( h(3) = 4 \).

Would you like further details or have any questions?

Here are 8 related questions:
1. What is the general form of a linear function?
2. How do you interpret the slope in the function \( h(x) = 3x - 5 \)?
3. How would you graph the function \( h(x) = 3x - 5 \)?
4. How do you find the x-intercept of the function?
5. What is the y-intercept of the function?
6. How would the function change if it were \( h(x) = 3x + 5 \)?
7. What happens to the value of \( h(x) \) if \( x \) increases?
8. How would you solve \( h(x) = 0 \) for \( x \)?

**Tip:** Linear functions are always graphed as straight lines with constant slopes.

Learn how to find h(3) for the linear function h(x) = 3x - 5. Step-by-step solution included. Suitable for Grades 9-12.

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