Evaluating Functions and Operations

The video tutorial covers evaluating operations with functions, starting with basic evaluations and progressing to more complex expressions. It includes four examples demonstrating how to evaluate and simplify expressions involving multiple functions. The tutorial emphasizes using order of operations and substitution to find solutions.

What is the first step in evaluating operations with functions?

• Evaluating a single function

• Subtracting two functions

• Multiplying two functions

• Adding two functions

In the first example, what is the value of f(4) if f(x) = -3x?

• 3

• -3

• 12

• -12

What is the next step after evaluating a single function?

• Dividing two functions

• Evaluating two functions separately and adding their results

• Subtracting two functions

• Multiplying two functions

What is the result of f(-1) + g(3) if f(x) = 3x and g(x) = 2x - 5?

• 2

• 0

• -2

• 1

In the second example, what is the function f(x) defined as?

• x - 2

• x^2 + 3x

• 2x + 3

• 3 - 2x

What is the result of f(-3) + g(5) if g(x) = √(x + 4)?

• 6

• 12

• 9

• 15

In the third example, what is the function g(x) defined as?

• 3x + 7

• x - 2

• x^2 + 3x - 1

• 1/(x + 2)

What is the result of 3 * f(1) - 6 * g(-5) if f(x) = 2x^2 + 3x - 1?

• 14

• 10

• 16

• 12

In the final example, what is the function f(x) defined as?

• x - 2

• 3x + 7

• 1/(x + 2)

• 2x^2 + 3x - 1

What is the result of 2 * f(5) / (3 * g(-1)) if g(x) = 3x + 7?

• 3/4

• 2/3

• 1/3

• 1/2