Math Problem Statement

(f+g)(1)=

Solution

To solve (f+g)(1)(f + g)(1), you need to evaluate the sum of the two functions f(x)f(x) and g(x)g(x) at x=1x = 1. In other words:

(f+g)(1)=f(1)+g(1)(f + g)(1) = f(1) + g(1)

Do you have the specific definitions of the functions f(x)f(x) and g(x)g(x)? Once you provide them, I can calculate the result.

Would you like to provide the functions for f(x)f(x) and g(x)g(x), or have more details?

Here are 5 related questions:

  1. What are f(x)f(x) and g(x)g(x) defined as in this case?
  2. How do you add two functions in general?
  3. Can you apply this concept for different values of xx?
  4. What happens when f(x)f(x) or g(x)g(x) is a constant?
  5. How do you graph the sum of two functions?

Tip: When combining functions, always calculate each function at the specific value first before adding them.

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Math Problem Analysis

Mathematical Concepts

Function Addition
Evaluation of Functions

Formulas

(f + g)(x) = f(x) + g(x)
Evaluate f(1) + g(1)

Theorems

Function Addition Theorem
Evaluation at a Point

Suitable Grade Level

Grades 9-11