State the domain and range of each of the following functions

State the domain and range of each of the following functions

a. f(x)=1/x+3

b. g(x)= sqrt x+6

c. h(x) = x^3+2x+5 (both are all real #s?)

plz show work if you can
mostly confused about a nad b

a.) The domain is x≠3, since 1 / (-3 + 3) = 1/0, which is undefined. The range is all real numbers not equal to 0, since you can't divide 1 by anything to get 0.

b.) Since the square root cannot be negative, it must be greater than or equal to 0.
√(x+6) ≥ 0
x+6 ≥ 0
x ≥ -6
The range is all numbers greater than or equal to 0. (y ≥ 0)

c.) The domain is all real numbers since there are no limits, like dividing or taking the square root of a number. The range is also all real numbers, as every number inserted for h(x) has a real "x" value.

PLEASE USE PARENTHESES!!

a. f(x) = 1/(x + 3)
D = {x: x ≠ -3}
R = {y: y ≠ 0}

b. g(x) = √(x + 6)
D = {x: x ≥ -6}
R = {y: y ≥ 0}

c. h(x) = x^3 + 2x + 5
D = {real numbers}
R = {real numbers}