Domains of Functions

Which of the following is the domain of
   f(x) = √(8-4x)

• A) [0,∞)
• B) [2,∞)
• C) (-∞, 2]
• D)  (-∞, ∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Find the domain of 
          f(x) =  x³+ 4sinx 

• A)  (-∞, ∞)
• B)  [0, 2π]
• C) [0, ∞)
• D)  All Real numbers except πn

3.  What is the domain of 
    g(x) = (5x-5)/(x²-1)

• A) (-∞, ∞)
• B) All Reals except -1
• C)  (-∞,-1)U(-1,1)U(1,∞)
• D) All Reals except 1

4.  What is the domain of
    h(x) =  log₂(5x-10)

• A)  (-∞, ∞)
• B)  (0, ∞)
• C) (-10, ∞)
• D) (2, ∞)

5.  Find the domain of
     j(x) = ∛(4x-8)

• A) (-∞, ∞)
• B) (-8, ∞)
• C) (2, ∞)
• D) (-∞, -2)

6.  Find the domain of 
        g(x) =  tan x

• A)  All real numbers
• B) All real numbers except π∕2+nπ
• C)  All real numbers except πn/2
• D)  (0, ∞)