
h, of, x, equals, minus, 3, x, plus, 2*h*(*x*)=−3*x*+2, find h, of, 1*h*(1)

Given the function \( h(x) = -3x + 2 \), we need to find \( h(1) \).

### Step 1: Substitute \( x = 1 \) into the function

\[
h(1) = -3(1) + 2
\]

### Step 2: Perform the multiplication and addition

\[
h(1) = -3 + 2 = -1
\]

So, \( h(1) = -1 \).

Would you like more details or have any questions? Here are five related questions to consider:

1. How would the value of \( h(x) \) change if the function were \( h(x) = -3x - 2 \)?
2. What is the graph of the function \( h(x) = -3x + 2 \) like?
3. How do you find the x-intercept of the function \( h(x) = -3x + 2 \)?
4. What is the effect of changing the slope in the linear function \( h(x) = -3x + 2 \)?
5. How can you determine if a function is increasing or decreasing based on its slope?

**Tip:** For linear functions, the slope (\( m \)) directly indicates the direction and steepness of the line.

Learn how to find the value of h(1) in the linear function h(x) = -3x + 2. Follow a step-by-step solution to substitute x = 1 into the function and calculate h(1). This problem covers linear functions and algebraic substitutions, suitable for students in Grades 7-9.

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