Given h, of, x, equals, 4, x, plus, 3h(x)=4x+3, find h, of, 4h(4).

Given the function \( h(x) = 4x + 3 \), we want to find \( h(4) \).

### Step 1: Substitute \( x = 4 \) into the function
Substituting \( x = 4 \) in the function:

\[
h(4) = 4 \cdot 4 + 3
\]

### Step 2: Simplify the expression
Now, simplify the right-hand side:

\[
h(4) = 16 + 3 = 19
\]

Therefore, the value of \( h(4) \) is:

\[
\boxed{19}
\]

Would you like a detailed explanation of each step, or do you have any questions?

Here are 5 related questions to expand your understanding:
1. What is the inverse of the function \( h(x) = 4x + 3 \)?
2. How would you find \( h(h(x)) \)?
3. If \( h(x) = 4x + 3 \), what is \( h(-2) \)?
4. How would you determine if \( h(x) = 4x + 3 \) is a one-to-one function?
5. How would you graph the function \( h(x) = 4x + 3 \)?

**Tip:** For any function \( f(x) \), finding \( f(a) \) involves substituting \( a \) into the function and simplifying the result.

Learn how to find h(4) for the linear function h(x) = 4x + 3 with a step-by-step solution. This problem is ideal for students in Grades 6-8, covering basic algebraic concepts and function evaluation.

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