Evaluating Functions and Expressions

The video tutorial explains how to evaluate and perform operations on functions F(x) = 8x - 5 and G(x) = 4x^2 + 3. It covers calculating F(2) + G(-3), F(5) - G(4), F(1/4) + F(-2), and F(5/6) - F(3/8) by substituting values into the functions and performing arithmetic operations. The tutorial emphasizes understanding function inputs and outputs, substitution, and arithmetic operations.

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

• f(x) = 4x^2 - 3

• f(x) = 4x^2 + 3

• f(x) = 8x - 5

• f(x) = 8x + 5

How do you calculate f(2) using the function f(x) = 8x - 5?

• Substitute 2 for x in 4x^2 - 3

• Substitute 2 for x in 4x^2 + 3

• Substitute 2 for x in 8x - 5

• Substitute 2 for x in 8x + 5

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

• 55

• 50

• 60

• 45

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

• g(x) = 4x^2 - 3

• g(x) = 4x^2 + 3

• g(x) = 8x - 5

• g(x) = 8x + 5

How do you calculate g(4) using the function g(x) = 4x^2 + 3?

• Substitute 4 for x in 4x^2 - 3

• Substitute 4 for x in 4x^2 + 3

• Substitute 4 for x in 8x - 5

• Substitute 4 for x in 8x + 5

What is the result of f(5) - g(4)?

• -32

• -30

• -28

• -26

How do you calculate f(1/4) using the function f(x) = 8x - 5?

• Substitute 1/4 for x in 4x^2 + 3

• Substitute 1/4 for x in 4x^2 - 3

• Substitute 1/4 for x in 8x - 5

• Substitute 1/4 for x in 8x + 5

What is the result of f(1/4) + f(-2)?

• -26

• -24

• -22

• -20

How do you calculate f(5/6) using the function f(x) = 8x - 5?

• Substitute 5/6 for x in 8x + 5

• Substitute 5/6 for x in 8x - 5

• Substitute 5/6 for x in 4x^2 + 3

• Substitute 5/6 for x in 4x^2 - 3

What is the result of f(5/6) - f(3/8)?

• 10/3

• 11/3

• 12/3

• 13/3