Function Evaluations and Operations

The video tutorial covers operations and evaluations of functions, including solving specific function values, addition, subtraction, multiplication, and division of functions. It provides step-by-step solutions for f(2), h(5), g(2) - h(2), and the quotient of f(-2) and g(-2). The tutorial also explains how to add and subtract functions, demonstrating the process of combining like terms and distributing negatives.

What is the expression for f(x) as defined in the introduction?

• 3x^2 - 5x + 2

• 5x^2 - 4

• sqrt(2x - 3)

• 2x^2 + 3x - 1

What is the value of f(2) when f(x) = 3x^2 - 5x + 2?

• 2

• 4

• 6

• 8

How do you calculate h(5) using the function h(x) = sqrt(2x - 3)?

• sqrt(7)

• sqrt(10)

• sqrt(3)

• sqrt(5)

What is the result of adding f(x) = 3x^2 - 5x + 2 and g(x) = 5x^2 - 4?

• 8x^2 - 5x - 2

• 8x^2 - 9x - 2

• 8x^2 - 9x + 2

• 8x^2 - 5x + 2

What is the result of subtracting f(x) from g(x)?

• 2x^2 + 5x - 6

• 2x^2 - 5x - 6

• 2x^2 + 5x + 6

• 2x^2 - 5x + 6

What is the value of g(2) - h(2)?

• 14

• 16

• 13

• 15

What is the highest degree term in the product of g(x) and f(x)?

• x

• x^4

• x^3

• x^2

What is the value of f(-1) * g(-1)?

• 15

• 20

• 5

• 10

What is the simplified form of f(-2) / g(-2)?

• 2

• 3/2

• 2/3

• 1/2

What is the final expression for the product of f(x) and h(x)?

• x^2 * sqrt(2x - 3)

• 2x^2 * sqrt(2x - 3)

• 5x^2 * sqrt(2x - 3)

• 3x^2 * sqrt(2x - 3)