Exploring Function Operations in Algebra 2

What does the notation f + g(x) represent?

• Multiplying f(x) and g(x)

• Dividing f(x) by g(x)

• Subtracting f(x) from g(x)

• Adding f(x) and g(x)

In function subtraction, why does the order matter?

• Because subtraction is associative

• Because the functions are multiplied

• Because subtraction is commutative

• Because the signs of the terms change

When multiplying two functions, what property is used?

• Identity property

• Commutative property

• Distributive property

• Associative property

What is the first step in dividing two functions?

• Multiplying the functions

• Subtracting the functions

• Factoring the functions

• Adding the functions

What does the notation f(g(x)) represent?

• Dividing f(x) by g(x)

• Multiplying f(x) and g(x)

• Adding f(x) and g(x)

• Composing f(x) with g(x)

In the composition f(g(1)), which function do you evaluate first?

• f(x)

• Neither

• g(x)

• Both simultaneously

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

• 31

• 29

• 27

• 25

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

• 125

• 729

• 27

• 343

What is the simplified form of f(g(x)) if f(x) = 5x + 2 and g(x) = 2/(x-1)?

• 10/(x-1) + 2

• 5/(x-1) + 2

• 10/(x-1) + 1

• 5/(x-1) + 1

What is the simplified form of g(f(x)) if g(x) = 2/x and f(x) = 5x + 2?

• 2/(5x - 2)

• 2/(5x - 1)

• 2/(5x + 2)

• 2/(5x + 1)