Algebra 2 - Addition of two linear functions, f(x) = x + 5; g(x) = x-4. Find (f+g)(x)

The video tutorial explains how to combine two functions, F of X and G of X, by adding them together. The instructor guides students through the process of adding the functions, simplifying the expression, and deriving the final result, which is 2X plus one. The tutorial emphasizes the importance of combining like terms and using parentheses appropriately.

What is the initial task given in the video regarding the functions F(x) and G(x)?

• To add F(x) and G(x)

• To divide F(x) by G(x)

• To subtract G(x) from F(x)

• To multiply F(x) and G(x)

What is the first step in adding the functions F(x) and G(x)?

• Multiply the variables

• Add the functions directly

• Divide the coefficients

• Subtract the constants

Why is it suggested to use parentheses when adding functions?

• To ensure multiplication is done first

• To simplify division

• To keep track of terms

• To make subtraction easier

Which terms are combined when simplifying the expression?

• Both variables and constants

• Only the variables

• Only the constants

• Neither variables nor constants

What is the final simplified form of F + G(x) as discussed in the video?

• 3X + 2

• 2X + 1

• X + 5

• X - 4