Adding and Combining Functions

The video tutorial explains how to add two functions, f(x) and g(x). It begins by introducing the concept of function addition and then defines the functions f(x) = 3x^2 + 2x and g(x) = 4x + 8. The tutorial proceeds to add these functions together, resulting in a new function by combining like terms. The final function obtained is 3x^2 + 6x + 8.

What is the initial step in solving the problem of adding f(x) and g(x)?

• Subtracting g(x) from f(x)

• Multiplying f(x) by g(x)

• Dividing f(x) by g(x)

• Adding f(x) to g(x)

What is the expression for f(x) given in the video?

• 3x^2 + 2x

• 3x^2 + 4x

• 4x + 8

• 2x + 8

What is the expression for g(x) as described in the video?

• 3x^2 + 8

• 4x + 8

• 2x + 4

• 3x^2 + 2x

After adding f(x) and g(x), what is the resulting expression before combining like terms?

• 3x^2 + 8

• 3x^2 + 2x + 4x + 8

• 2x + 4x + 8

• 3x^2 + 6x + 8

What is the final expression after combining like terms in f(x) + g(x)?

• 3x^2 + 4x + 8

• 3x^2 + 6x + 8

• 3x^2 + 2x + 8

• 3x^2 + 8x + 8