Exploring Composition of Functions in Algebra

What does the notation F Circle G of X represent?

• Subtraction of two functions

• Composition of two functions

• Addition of two functions

• Multiplication of two functions

Tags

CCSS.HSF-BF.A.1C

In the composition F Circle G of X, which function do you evaluate first?

• F of X

• G of X

• Both simultaneously

• Neither

Tags

CCSS.HSF-BF.A.1C

If G(7) = 0 and F(0) = -1, what is F Circle G of 7?

• -1

• 1

• 0

• 7

Tags

CCSS.HSF-BF.A.1C

What is the domain of the function F Circle G of X if the ordered pairs are (7, -1), (-1, 7), (4, 4), and (8, 6)?

• {-1, 7, 4, 6}

• {7, -1, 4, 8}

• {7, 4, 8}

• {-1, 4, 6}

Tags

CCSS.HSF-BF.A.1B

What is the range of the function F Circle G of X if the ordered pairs are (7, -1), (-1, 7), (4, 4), and (8, 6)?

• {7, -1, 4, 8}

• {-1, 7, 4, 6}

• {-1, 4, 6}

• {7, 4, 8}

Tags

CCSS.HSF-BF.A.1C

What is the result of G Circle F of 2 if F(2) = 6 and G(6) is undefined?

• 6

• 2

• Undefined

• 0

Tags

CCSS.HSF-BF.A.1C

If F(9) = 4 and G(4) = 9, what is G Circle F of 9?

• Undefined

• 0

• 9

• 4

Tags

CCSS.HSF-BF.A.1C

What is the domain of the function G Circle F of X if the ordered pairs are (9, 9), (7, 0), and (0, 7)?

• {7, 0, 9}

• {9, 7, 0}

• {9, 0, 7}

• {0, 7, 9}

Tags

CCSS.HSF-BF.A.1B

What is the result of F Circle G of X if F(X) = X + 2 and G(X) = 4X - 5?

• 4X - 3

• 4X + 2

• 4X + 3

• X + 7

Tags

CCSS.HSF-BF.A.1C

What is the vertex of the quadratic function F Circle G of X if F(X) = 3X^2 - X + 4 and G(X) = 2X - 1?

• (1/6, 6.83)

• (7/12, 3.92)

• (1/6, 3.92)

• (7/12, 6.83)