if f(x)=-9 and g(x)=-10+ x find (g-f)(-7)

To find \((g - f)(-7)\), we need to calculate:

\[
(g - f)(x) = g(x) - f(x)
\]

We are given:
- \(f(x) = -9\)
- \(g(x) = -10 + x\)

Now, let's compute \((g - f)(-7)\).

1. First, calculate \(g(-7)\):
   \[
   g(-7) = -10 + (-7) = -10 - 7 = -17
   \]

2. Next, since \(f(x) = -9\) for all \(x\), \(f(-7) = -9\).

3. Now, compute \((g - f)(-7)\):
   \[
   (g - f)(-7) = g(-7) - f(-7) = -17 - (-9) = -17 + 9 = -8
   \]

Thus, \((g - f)(-7) = -8\).

Would you like any additional explanation or details?

---

Here are 5 related questions for further exploration:

1. What is the value of \((g + f)(-7)\)?
2. Can you find the value of \(g(-10)\)?
3. If \(f(x) = -9\) for all \(x\), is \(f(x)\) a constant function?
4. How does the graph of \(g(x) = -10 + x\) look?
5. Can you solve for \(x\) if \(g(x) = 0\)?

**Tip:** When subtracting functions, always remember to subtract the values of each function at the same point \(x\).

Learn how to find (g - f)(-7) for the functions f(x) = -9 and g(x) = -10 + x. This algebra problem involves understanding function operations and solving using basic linear equations. Suitable for students in Grades 7-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation