Domain of Algebraic Functions

Find the domain write answer in interval notation

1 / (3x-6)

• (-∞,2)u (2,∞)

• (-∞,∞)

• (-∞,-2)u (-2,∞)

• (-2,2)

find the domain, write answer in interval notation

x³ / (x² +x−6)

• (−∞,−3) u (-3,2) u (2, ∞)

• (-3,2)

• (-∞, -3) u (2,∞)

• (−∞,−2) u (-2,3) u (3, ∞)

Find the domain and write answer in interval notation

√ (7-3x) (that is all under the radical)

• (−∞,7/3]

• [7/3, ∞)

• (−∞,7/3) u (7/3,∞)

• (−∞, ∞)

find the domain and write answer in interval notation.

x² / (√(6-x)

• (−∞, 6)

• (−∞,6]

• (−∞, 6) u (6, ∞)

• (6, ∞)

Domain of f(x) = √(3-2x)

• (-∞, 1.5]

• (-∞, 1.5)

• [1.5,-∞)

Domain of f(x) = x² - 4x³

• (-∞, +∞)

• [-∞, +∞]

• Does not exist

• (-∞, +∞]

Domain of f(x) = 3x+5 / (2x - 7)

• (-∞, 3.5) U (3.5, +∞)

• (-∞, 3.5] U [3.5, +∞)

• [-∞, 3.5] U [3.5, +∞]

(2x + 1) / (√x-5)

• (5, +∞)

• (-∞, 5)

• [5, +∞)

• (-∞, 5) U (5, +∞)

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

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

3. What is the domain of

g(x) = (5x-5)/(x²-1)

• A) (-∞, ∞)

• B) (-∞,-1)U(-1,∞)

• C) (-∞,-1)U(-1,1)U(1,∞)

• D) (-∞,1)U(1,∞)