Finding Function Domains

What is the domain of f(x) = 1/(x-3)?

• All real numbers except 0

• All real numbers except 3

• All real numbers

• Only positive numbers

Determine the domain of g(x) = √(x+4).

• [0, 4]

• (-4, 4)

• [-4, ∞)

• (-∞, -4)

Find the domain of h(x) = √(2x-8).

• (-∞, 4)

• (4, 8)

• [4, ∞)

• [0, 4)

What restrictions apply to the function j(x) = 1/(x^2 - 9)?

• x cannot be 1 or -1

• x cannot be 2 or -2

• x cannot be 3 or -3

• x cannot be 0

Identify the domain of k(x) = √(x^2 - 16).

• (-∞, -2] ∪ [2, ∞)

• (-∞, -4] ∪ [4, ∞)

• (-4, 4)

• [-4, 4]

What is the domain of m(x) = 1/(x^2 + 4)?

• All real numbers

• x > 0

• x = 2

• x < -2

Determine the domain of n(x) = √(x-5) + 2.

• [0, 5)

• (−∞, 5)

• [5, ∞)

• (5, 10)

Find the domain of p(x) = 1/(x+1) + √(x-1).

• [0, 1)

• (-∞, 1)

• [1, ∞)

• (1, 2)

What restrictions must be considered for q(x) = √(x^2 + 1)?

• q(x) is only defined for x > 0.

• q(x) has restrictions for x < -1.

• No restrictions; q(x) is defined for all real numbers.

• q(x) is undefined for all real numbers.

What is the domain of r(x) = √(x + 3) - 1?

• (-3, ∞)

• [-3, ∞)

• (-∞, -3)

• [0, 3]