Function Operations and Composition in Algebra 2

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

• -2x + 4

• 2x + 4

• 2x - 4

• -6x + 4

When subtracting g(x) = 2x + 4 from f(x) = -4x, what is the resulting function?

• -6x - 4

• -2x - 4

• -6x + 4

• -2x + 4

What is the result of multiplying f(x) = -4x and g(x) = 2x + 4?

• -8x^2 + 16x

• -8x^2 - 16x

• 8x^2 - 16x

• 8x^2 + 16x

What is a power function?

• A function in the form y = ax + b

• A function in the form y = ax^b where a is a real number and b is a rational number

• A function in the form y = ax^b where a is a rational number and b is a real number

• A function in the form y = ax^b where a and b are real numbers

What is the result of adding the power functions f(x) = 4x^(1/2) and g(x) = -9x^(1/2)?

• -5x^(1/2)

• -13x^(1/2)

• 5x^(1/2)

• 13x^(1/2)

What is the result of the composition g(f(5)) if f(x) = 3x - 8 and g(x) = 2x^2?

• 49

• 98

• 50

• 142

What is the result of the composition f(g(5)) if f(x) = 3x - 8 and g(x) = 2x^2?

• 142

• 49

• 98

• 50

What is the result of the composition f(g(x)) if f(x) = 4x^(-1) and g(x) = 5x - 2?

• 4x / (5x - 2)

• 4 / (5 - 2x)

• 4x / (5 - 2)

• 4 / (5x - 2)

What is the result of the composition g(f(x)) if f(x) = 4x^(-1) and g(x) = 5x - 2?

• 20x - 2

• 20x^(-1) - 2

• 20x^(-1) + 2

• 20x + 2

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

• 9x^2 - 2

• 9x^2 + 3x - 2

• 9x^2 - 6x + 1

• 9x^2 + 3x + 1