State the following giving the domain for each function

Question

1. Given A = (-3,8), B = (6,8] and N, (the set of natural numbers) write down,

(a) A U B in interval notation,
(b) the set N\A.

2 Which of the following define y as a function of x on R. Explain for each why they are/are not functions.

(a) 4x³ + y = 6

(b) x - y -√x = 8

(c) x = cos²y

(d) y = 2x+3/ x-1

3. Let g (x) = sin(x) and h(x) = be defined on their natural domains. State the following, giving the domain for each function using set notation (show all working).

Attachment:- MATH_Question.pdf