Exploring Operations on Functions: Addition, Subtraction, Multiplication, and Division

What does f + g of x represent?

• f of x plus g of x

• f of x times g of x

• f of x minus g of x

• f of x divided by g of x

How do you simplify f minus g of x?

• Divide the first function by the second

• Multiply the two functions

• Add the two functions

• Subtract the second function from the first

What is the result of f plus g of 3 if f(x) = x^2 + 3 and g(x) = -2x + 6?

• 9

• 12

• 15

• 6

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

• 4

• 2

• -4

• 0

What does fg of x represent?

• f of x divided by g of x

• f of x minus g of x

• f of x plus g of x

• f of x times g of x

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

• 1/2

• 2

• 1

• 0

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

• 540

• 480

• 500

• 520

What is the result of f divided by g of 0 if f(x) = x^2 + 1 and g(x) = 3x + 5?

• 1/5

• 5

• 0

• 1

What is the domain of the function f(x) = x^2 + 1 divided by g(x) = 3x + 5?

• All real numbers except 0

• All real numbers except -5/3

• All real numbers except 5/3

• All real numbers

What is the simplified form of f divided by g of x if f(x) = x^2 + 1 and g(x) = 3x + 5?

• (x^2 + 1) / (3x + 5)

• (x^2 + 1) * (3x + 5)

• (x^2 + 1) + (3x + 5)

• (x^2 + 1) - (3x + 5)