https://file.aiquickdraw.com/mathbot/file/1729000915849w8eu2cpx.jpg

We are given the function \( h(x) = 2x + 4 \), and we need to find the value of \( x \) such that \( h(x) = 18 \).

Let's solve for \( x \):

\[
h(x) = 2x + 4 = 18
\]

Subtract 4 from both sides:

\[
2x = 18 - 4
\]
\[
2x = 14
\]

Now, divide both sides by 2:

\[
x = \frac{14}{2} = 7
\]

Thus, the value of \( x \) is \( \boxed{7} \), which corresponds to option A.

Would you like any more details or have further questions?

Here are some related questions you might consider:
1. How would the solution change if the function were \( h(x) = 3x + 5 \)?
2. What is the inverse function of \( h(x) = 2x + 4 \)?
3. Can you solve for \( x \) when \( h(x) = 0 \) for the same function?
4. What happens if you graph the function \( h(x) = 2x + 4 \)? What does the slope represent?
5. How would you set up a system of equations if there were two similar linear functions?

**Tip**: Always check your solution by substituting \( x \) back into the original function to verify the result.

Given the function h(x) = 2x + 4, for which value of x does h(x) = 18?

Learn how to solve for x in the linear function h(x) = 2x + 4. This step-by-step guide helps you find the value of x when h(x) equals 18. Perfect for students in Grades 7-9 learning basic algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation