Evaluating Functions and Operations

The video tutorial explains how to evaluate and manipulate functions F(x) = 3x - 6 and G(x) = 2x^2 + 7x + 5. It covers evaluating specific values like F(7) + G(5) and F(3) - G(2), and demonstrates how to add and subtract these functions to form new expressions. The tutorial emphasizes the importance of correctly handling parentheses and signs during these operations.

What is the result of evaluating f(7) using the function f(x) = 3x - 6?

• 9

• 21

• 15

• 18

How do you calculate g(5) using the function g(x) = 2x^2 + 7x + 5?

• By dividing the function by 5

• By substituting 5 for x and simplifying

• By adding 5 to the function

• By multiplying the function by 5

What is the final result of f(7) + g(5)?

• 60

• 90

• 105

• 75

What is the result of evaluating f(3) using the function f(x) = 3x - 6?

• 6

• 9

• 0

• 3

What is the result of g(2) using the function g(x) = 2x^2 + 7x + 5?

• 5

• 8

• 14

• 27

What is the result of f(3) - g(2)?

• 24

• 0

• -24

• -3

What is the new function formed by adding f(x) and g(x)?

• 3x^2 + 7x - 6

• 2x^2 + 10x - 1

• 2x^2 + 7x + 5

• 3x^2 + 10x - 1

What is the result of f(x) - g(x)?

• 2x^2 - 4x + 11

• -2x^2 + 4x - 11

• 2x^2 + 4x + 11

• -2x^2 - 4x - 11

What is the result of g(x) - f(x)?

• 2x^2 - 4x + 11

• 2x^2 + 4x + 11

• -2x^2 - 4x - 11

• -2x^2 + 4x - 11

Why is the order important in subtraction of functions?

• Because subtraction is not commutative

• Because addition is not commutative

• Because multiplication is not commutative

• Because division is not commutative