Exploring 5 and 7 Function Operations

What is the result of adding the functions f(x) = x^2 - 8x + 4 and g(x) = 4x - 3?

• x^2 - 4x + 7

• x^2 - 8x + 1

• x^2 - 4x + 1

• x^2 - 12x + 7

When subtracting functions, what must you ensure about the negative sign?

• It is applied to the first function.

• It is ignored.

• It is distributed to all terms of the second function.

• It is only applied to the first term of the second function.

What is the domain restriction when dividing functions f(x) and g(x)?

• f(x) cannot be zero.

• f(x) cannot be negative.

• g(x) cannot be negative.

• g(x) cannot be zero.

What is the result of multiplying the functions h(x) = x - 1 and g(x) = 4x - 3?

• 4x^2 - 5x - 3

• 4x^2 - 5x + 3

• 4x^2 - 3x - 3

• 4x^2 - 7x + 3

What is the value of f(-2) if f(x) = x^2 - 8x + 4?

• 0

• 2

• -2

• -10

What is the value of g(-2) if g(x) = x + 7?

• 5

• 3

• 7

• 9

What does the composition of functions f(g(x)) mean?

• Adding f(x) and g(x)

• Multiplying f(x) and g(x)

• Taking the function g(x) and plugging it into f(x)

• Subtracting g(x) from f(x)

What is the result of the composition f(g(x)) if f(x) = x^3 + 8 and g(x) = x - 1?

• x^3 - 1

• (x - 1)^3 - 8

• (x - 1)^3 + 8

• x^3 - 1 + 8

What is the simplified form of h(g(x)) if h(x) = 5x - 3 and g(x) = x - 1?

• 5x - 8

• 5x - 5

• 5x - 6

• 5x - 3

What is the first step in solving a composition of functions problem?

• Combine like terms.

• Solve the inner function first.

• Solve the outer function first.

• Distribute any constants.