How to add two functions and evaluate for a given value

The video tutorial explains how to combine two functions, F(x) and G(x), by adding them together. It discusses the notation F + G of X and emphasizes that the functions cannot be combined if they are not like terms. The tutorial also covers how to determine the domain of the combined function, highlighting that the domain is all values of X greater than or equal to -1. Finally, it demonstrates evaluating the combined function for a specific input, noting the use of imaginary numbers when the input is outside the domain.

What does the notation F + G of X represent?

• Dividing F of X by G of X

• Adding F of X to G of X

• Multiplying F of X by G of X

• Subtracting G of X from F of X

Why can't the functions X^2 and sqrt(X + 1) be combined into like terms?

• They are both polynomials

• They have different variable exponents

• They are both square roots

• They are both linear functions

What is the domain of the function F + G where F(X) = X^2 and G(X) = sqrt(X + 1)?

• X less than or equal to -1

• X greater than or equal to -1

• X greater than or equal to 0

• All real numbers

Why can't you take the square root of -1 in the real number system?

• It results in a complex number

• It results in a negative number

• It results in zero

• It results in an undefined number

What is the result of evaluating F + G for X = -2?

• A positive integer

• An imaginary number

• A real number

• A negative integer