https://file.aiquickdraw.com/mathbot/file/1727320079489xlitvgw0.jpg

https://file.aiquickdraw.com/mathbot/file/1727320098551qp634v46.jpg

The problem given in the images is:

- \( g(x) = 6x + 4 \)
- \( f(x) = 2x - 7 \)
  
We are asked to find \( g(x) - f(x) \).

### Step-by-step solution:

To find \( g(x) - f(x) \), subtract the function \( f(x) \) from \( g(x) \):

\[
g(x) - f(x) = (6x + 4) - (2x - 7)
\]

Distribute the negative sign to the terms of \( f(x) \):

\[
g(x) - f(x) = 6x + 4 - 2x + 7
\]

Now, combine the like terms:

\[
g(x) - f(x) = (6x - 2x) + (4 + 7)
\]

\[
g(x) - f(x) = 4x + 11
\]

So, the result is \( 4x + 11 \).

### Answer: \( 4x + 11 \) (Option A)

---

Would you like more details or have any other questions?

Here are 5 related questions for deeper understanding:

1. How do you add or subtract functions in general?
2. What would happen if you had to multiply \( g(x) \) and \( f(x) \) instead of subtracting?
3. How do you evaluate \( g(x) \) and \( f(x) \) for specific values of \( x \)?
4. How do you graph the difference of two functions?
5. What changes if one of the functions is a quadratic function instead of linear?

**Tip:** Always remember to distribute negative signs carefully when subtracting entire functions.

Given g(x) = 6x + 4 and f(x) = 2x - 7, find g(x) - f(x)

Learn how to subtract functions with a detailed step-by-step solution for g(x) = 6x + 4 and f(x) = 2x - 7. This algebraic problem is suitable for students in Grades 8-10 and covers important concepts in function operations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation