Function Operations: Adding and Subtracting Rational Expressions

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

• f(x) * g(x)

• f(x) + g(x)

• f(x) - g(x)

• f(x) / g(x)

Tags

CCSS.HSF-BF.A.1B

When performing division of functions, what must you ensure about the denominator?

• It is always positive

• It is never zero

• It is always negative

• It is always an integer

Tags

CCSS.HSF-BF.A.1B

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

• 9

• 3

• 7

• 5

Tags

CCSS.HSF.IF.A.2

What is the domain of the function f(x) - g(x) if f(x) = -2x + 6 and g(x) = 5x - 7?

• All real numbers

• x ≠ 0

• x > 0

• x < 0

Tags

CCSS.HSF-BF.A.1B

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

• 255

• 4320

• 4335

• 4350

Tags

CCSS.HSF.IF.A.2

What is the domain of the function f(x) / g(x) if f(x) = x^2 + 1 and g(x) = x^4 - 1?

• All real numbers

• x ≠ 1 and x ≠ -1

• x > 1

• x < -1

If f(2) = 7 and g(2) = -1, what is f(2) + g(2) using the table?

• 8

• 5

• 6

• 7

Tags

CCSS.HSF-BF.A.1B

What is the result of f(2) + g(-1) using the graph if f(2) = 4 and g(-1) = 1?

• 3

• 4

• 5

• 6

Tags

CCSS.HSF.IF.A.2

What is the result of f(g(3)) if f(x) = x^2 - 3 and g(x) = 4x - 3?

• 81

• 72

• 75

• 78

Tags

CCSS.HSF-BF.A.1C

What is the result of g(f(4)) if f(x) = x^2 - 3 and g(x) = 4x - 3?

• 51

• 50

• 52

• 49

Tags

CCSS.HSF-BF.A.1C