Math Problem Statement

  1. If f(x) = 2x + 1 and g(x) = 3x what is f(x) + g(x)

A. - 2x + 1

C. - 6x - 1

B. - 5x + 1

D. 5x + 1

Solution

To find f(x)+g(x)f(x) + g(x), we need to add the expressions for f(x)f(x) and g(x)g(x).

Given: f(x)=2x+1f(x) = 2x + 1 g(x)=3xg(x) = 3x

Now, add the two functions: f(x)+g(x)=(2x+1)+3xf(x) + g(x) = (2x + 1) + 3x

Combine like terms: f(x)+g(x)=2x+3x+1=5x+1f(x) + g(x) = 2x + 3x + 1 = 5x + 1

So, the correct answer is:

D. 5x+15x + 1

Would you like any further details or have any other questions? Here are 5 related questions to expand your understanding:

  1. What is f(x)g(x)f(x) - g(x) for the given functions?
  2. How would you find f(g(x))f(g(x)) for the given functions?
  3. What is the value of f(x)+g(x)f(x) + g(x) when x=2x = 2?
  4. Can you find f(x)×g(x)f(x) \times g(x) for these functions?
  5. What is the inverse function of f(x)f(x) and g(x)g(x)?

Tip: When combining functions, always group and simplify like terms to make the expression more manageable.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Functions
Linear Equations
Adding Functions

Formulas

-

Theorems

-

Suitable Grade Level

Grades 7-9