Math Problem Statement

or What is (f+g)(x)? f(x)= – 3x g(x)= – 4x+4

Solution

To find (f+g)(x)(f + g)(x), we need to add the two functions f(x)f(x) and g(x)g(x). The given functions are:

f(x)=3xf(x) = -3x g(x)=4x+4g(x) = -4x + 4

Now, add them together:

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

Simplify:

(f+g)(x)=3x4x+4=7x+4(f + g)(x) = -3x - 4x + 4 = -7x + 4

Thus, (f+g)(x)=7x+4(f + g)(x) = -7x + 4.

Would you like more details or have any questions?

Here are some related questions:

  1. What is (fg)(x)(f - g)(x) for the same functions f(x)f(x) and g(x)g(x)?
  2. What is (fg)(x)(f \cdot g)(x) for the same functions?
  3. What is (f/g)(x)(f / g)(x) for these functions?
  4. How do you find the domain of (f+g)(x)(f + g)(x)?
  5. How does changing the values of f(x)f(x) and g(x)g(x) affect the result of (f+g)(x)(f + g)(x)?

Tip: When combining functions, always pay attention to both the coefficients of the variables and any constants.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Function Addition
Linear Functions

Formulas

(f + g)(x) = f(x) + g(x)

Theorems

-

Suitable Grade Level

Grades 7-9