Interval Notation, Composite and Inverse Functions Practice

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31
• f(g(x))= -6x²+24
• f(g(x))=18x²-84x+6
• f(g(x))=9x²-42x-1

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the inverse of the given relation: {(1, 2) (3, 8) (-3, 6)}

• {(1, 2) (3, 8) (-3, 6)}

• {(1, 2) (8, 3) (-3, 6)}

• {(-1, -2) (-3, -8) (3, -6)}

• {(2, 1) (8, 3) (6, -3)}

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

Are the following inverses of each other? Verify algebraically.

• True

• False

What is the inverse of this function?

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.4

Express the following in Interval Notation
-9 < x ≤ -4

• [-9, -4]
• (-9,-4]
• [-9, -4]
• (-9,-4)

Tags

CCSS.HSA.CED.A.3

Look at the graph. Write the inequality in interval notation.

• (-2,5)
• (-∞,-2)⋃(5,∞)
• [-2,5]
• (-∞,-2]∪[5,∞)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Write the following in interval notation
x < 3 or x ≥ 5

• (3, -∞) or (∞, 5]
• [-∞, 3) or [5, ∞]
• (-∞, 3) or [5, ∞)
• (3, -∞] or [∞, 5]

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3