Evaluating Composite Functions: Concepts and Practice

What is the difference between a composite function and the multiplication of two functions?

• Composite function involves addition.

• Composite function involves subtraction.

• Composite function involves one function inside another.

• Multiplication involves one function inside another.

How do you represent f(g(x))?

• f(g(x))

• g(f(x))

• f(x) * g(x)

• f(x) + g(x)

If f(x) = 3x - 4 and g(x) = x^2 - 3, what is f(g(x))?

• x^2 - 3

• 3x - 4

• 3x^2 - 13

• 3x^2 - 4

How do you find g(f(x))?

• By subtracting f(x) from g(x)

• By adding f(x) and g(x)

• By substituting f(x) into g(x)

• By multiplying f(x) and g(x)

If f(x) = 3x - 4 and g(x) = x^2 - 3, what is g(f(x))?

• 3x^2 - 13

• 9x^2 - 24x + 16

• x^2 - 3

• 9x^2 - 24x + 13

If f(x) = 5x + 2 and g(x) = x^3 - 4, what is f(g(2))?

• 22

• 20

• 18

• 16

What is the first step in evaluating f(g(2))?

• Find g(2)

• Find f(2)

• Multiply f and g

• Add f and g

If f(x) = 5x + 2, what is f(-1)?

• -3

• 3

• -7

• 7

If g(x) = x^3 - 4, what is g(-3)?

• -27

• -31

• -28

• -30

What is the final value of g(f(-1)) if f(x) = 5x + 2 and g(x) = x^3 - 4?

• -28

• -30

• -27

• -31