Composite Domain and Range

What is f(g(3))?

• 1/8

• 8

• 1/4

• 1/2

Answer explanation

To find f(g(3)), first find g(3) which is 3^2 = 9. Then find f(9) which is 1/9. Therefore, f(g(3)) = 1/9 = 1/8.

Tags

CCSS.HSF-BF.A.1C

Q1. What is the value of the expression?

• A) 9 - √17

• B) 4

• C) 2

• D) √8

Tags

CCSS.HSF-BF.A.1C

• 6x² - 1
• 6x - 3
• 5x - 1
• 6x² - 3x

Tags

CCSS.HSF-BF.A.1C

If f(x) = 1/x and g(x) = x - 10, what is the domain of f(g(x))?

• All Real Numbers except x cannot equal 0

• All Real Numbers except x cannot equal -10

• All Real Numbers except x cannot equal 10

• All Real Numbers
  

Tags

CCSS.HSF-BF.A.1B

What is the range of this function?

• (-5, 5)

• (-3, 3)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

• The domain of the function is {0,1,2,3,4,5}

• The range of the function {0,96,192,288,384,480}

• The domain of the function is all real numbers

• The domain of the function {0,96,192,288,384,480}

• The range of the function {0,1,2,3,4,5}

• The range of the function is all real numbers.

What is the range of this functions?

• -6 ≤ y ≤ 3

• -6 < y < 3

• -2 ≤ y ≤ 4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find h(f(x))

• 4x²

• 2x²

• 4x⁴

• 2x³

Tags

CCSS.HSF-BF.A.1C