The functions 

*f*

 and 

*g*

 are defined as follows.

=*fx*=+3*x*35        *gx*+4*x*4

Find 

*f*−2

 and 

*g*−6

.

Simplify your answers as much as possible.

The given functions are:

- \( f(x) = 3x + 35 \)
- \( g(x) = 4x + 4 \)

We need to find \( f(-2) \) and \( g(-6) \).

### Step 1: Finding \( f(-2) \)

Substitute \( x = -2 \) into the function \( f(x) \):

\[
f(-2) = 3(-2) + 35 = -6 + 35 = 29
\]

### Step 2: Finding \( g(-6) \)

Substitute \( x = -6 \) into the function \( g(x) \):

\[
g(-6) = 4(-6) + 4 = -24 + 4 = -20
\]

### Final Answers:

- \( f(-2) = 29 \)
- \( g(-6) = -20 \)

Would you like more details on how these functions were evaluated? 

Here are 5 related questions:
1. How do you graph the function \( f(x) = 3x + 35 \)?
2. What is the slope of the function \( g(x) = 4x + 4 \)?
3. Can you find \( f(0) \) and \( g(0) \)?
4. What happens to \( f(x) \) and \( g(x) \) as \( x \to \infty \)?
5. How do the functions \( f(x) \) and \( g(x) \) intersect?

**Tip:** Always substitute values into the original function carefully to avoid sign errors.

The functions f(x) and g(x) are defined as follows: f(x) = 3x + 35, g(x) = 4x + 4. Find f(-2) and g(-6). Simplify your answers as much as possible.

Learn how to evaluate the linear functions f(x) = 3x + 35 and g(x) = 4x + 4 at specific values of x. This detailed solution includes step-by-step substitution and simplification, making it suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation